{"id":1525,"date":"2022-04-20T06:20:42","date_gmt":"2022-04-20T06:20:42","guid":{"rendered":"https:\/\/www.splashlearn.com\/article-test-new\/?page_id=1525"},"modified":"2024-02-18T16:31:20","modified_gmt":"2024-02-18T16:31:20","slug":"curve-definition-with-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/curve","title":{"rendered":"Curve &#8211; Definition, Examples, Types, Shapes, Facts, FAQs"},"content":{"rendered":"\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column eplus-wrapper is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\"><div class=\"aioseo-breadcrumbs\"><span class=\"aioseo-breadcrumb\">\n\tMath-Vocabulary\n<\/span><\/div>\n\n<div class=\"ub_table-of-contents\" data-showtext=\"show\" data-hidetext=\"hide\" data-scrolltype=\"auto\" id=\"ub_table-of-contents-df58e0d8-6cea-45d8-9e67-c24e82eb5255\" data-initiallyhideonmobile=\"false\"\n                    data-initiallyshow=\"true\"><div class=\"ub_table-of-contents-extra-container\"><div class=\"ub_table-of-contents-container ub_table-of-contents-1-column \"><ul><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/curve#0-what-is-a-curve>What Is a Curve?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/curve#1-what-are-curved-shapes>What Are Curved Shapes?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/curve#2-what-are-some-types-of-curves>What Are Some Types of Curves?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/curve#5-solved-examples-on-curve>Solved Examples on Curve<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/curve#6-practice-problems-on-curve>Practice Problems on Curve<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/curve#7-frequently-asked-questions-on-curve>Frequently Asked Questions on Curve<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"407\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/curves.png\" alt=\"Curves\" class=\"wp-image-40130\" title=\"Curves\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/curves.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/curves-300x197.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"0-what-is-a-curve\">What Is a Curve?<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><strong>A curve is a continuous and smooth flowing <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/line\">line<\/a> without any sharp turns. One way to recognize it is that it bends and changes its direction at least once.&nbsp;<\/strong><\/p>\n\n\n\n<div id=\"recommended-games-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Games<\/h4><div class=\"recommended-games-container-slides\"><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/identify-curved-surface\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geometry_faces_curved_surface_pt.png\" alt=\"Identify Curved Surface Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Identify Curved Surface Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><\/div><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/games\">More Games<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-games-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".game-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function adjustContainerStyles() {\n                const numCards = cards.length;\n\n                if (numCards === 1) {\n                    container.style.maxWidth = \"30%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 2) {\n                    container.style.maxWidth = \"50%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 3) {\n                    container.style.maxWidth = \"75%\";\n                    container.style.textAlign = \"center\";\n                } else {\n                    container.style.maxWidth = \"\";\n                    container.style.textAlign = \"\";\n                }\n            }\n\n            function checkScrollPosition() {\n                const maxScrollLeft = slidesContainer.scrollWidth - slidesContainer.clientWidth;\n                if ((slidesContainer.scrollLeft + 10) >= maxScrollLeft) {\n                    scrollRightArrow.style.display = \"none\"; \/\/ Hide the arrow if fully scrolled\n                } else {\n                    scrollRightArrow.style.display = \"block\"; \/\/ Show the arrow if not fully scrolled\n                }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading eplus-wrapper\" id=\"1-what-are-curved-shapes\">What Are Curved Shapes?<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">A shape made of curves is called a curved shape. A curved shape can be two-dimensional, like <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/circle\" target=\"_blank\" rel=\"noopener\" title=\"\">circles<\/a>, ellipses, parabolas, and arcs. Curved shapes can also be three-dimensional figures like spheres, cones, and cylinders.&nbsp;<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"2-what-are-some-types-of-curves\">What Are Some Types of Curves?<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">Here are the different types of mathematical curves:<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>1. Upward Curve:<\/strong><strong> <\/strong>A curve that turns in the upward direction is called an upward curve. It is also known as a concave upward or convex downward curve.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"293\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/upward-curves.png\" alt=\"Upward curves\" class=\"wp-image-40131\" title=\"Upward curves\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/upward-curves.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/upward-curves-300x142.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\"><strong>2. Downward Curve:<\/strong><strong> <\/strong>A curve that turns in the downward direction is called a downward curve since it is curved downward. It is also known as a concave downward or convex upward curve.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"293\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/downward-curves.png\" alt=\"Downward curves\" class=\"wp-image-40132\" title=\"Downward curves\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/downward-curves.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/downward-curves-300x142.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\"><strong>&nbsp;&nbsp;3. Open Curve: <\/strong>An open curve does not enclose any area within itself and has two endpoints. Some of the open curves are given in the figure below:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"293\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/open-curves.png\" alt=\"Open curves\" class=\"wp-image-40133\" title=\"Open curves\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/open-curves.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/open-curves-300x142.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">&nbsp;&nbsp;<strong>4. Closed Curve:<\/strong> A closed curve has no endpoints and encloses an area (or a region). It is formed by joining the end points of an open curve together. Circles and ellipses are formed using closed curves.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"293\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/closed-curves.png\" alt=\"Closed curves\" class=\"wp-image-40129\" title=\"Closed curves\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/closed-curves.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/closed-curves-300x142.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\"><strong>&nbsp;&nbsp;<\/strong><strong>5. Simple Curve:<\/strong><strong> <\/strong>A simple curve changes direction but does not cross itself while changing direction. It can be open and closed.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"293\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/open-and-closed-simple-curves.png\" alt=\"Open and closed simple curves\" class=\"wp-image-40134\" title=\"Open and closed simple curves\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/open-and-closed-simple-curves.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/open-and-closed-simple-curves-300x142.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\"><strong>&nbsp;&nbsp;6. Non-Simple Curves: <\/strong>A curve that crosses its own path is called a non-simple curve.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"293\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/open-and-closed-non-simple-curves.png\" alt=\"\" class=\"wp-image-40135\" title=\"Open and closed non-simple curves\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/open-and-closed-non-simple-curves.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/open-and-closed-non-simple-curves-300x142.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"3-curves-around-us\">Curves Around Us!<\/h2>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">Race track: The track from the figure looks like a closed curve.&nbsp;<\/li>\n\n\n\n<li class=\"eplus-wrapper\">Roads: Roads on hills and mountains are curvy.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"320\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/real-life-examples-of-curves.png\" alt=\"Real-life examples of curves\" class=\"wp-image-40136\" title=\"Real-life examples of curves\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/real-life-examples-of-curves.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/real-life-examples-of-curves-300x155.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"4-facts-about-curves\">Facts About Curves<\/h2>\n\n\n\n<div style=\"color:#0369a1;background-color:#e0f2fe\" class=\"wp-block-roelmagdaleno-callout-block has-text-color has-background is-layout-flex wp-container-roelmagdaleno-callout-block-is-layout-8cf370e7 wp-block-roelmagdaleno-callout-block-is-layout-flex\"><div>\n<p class=\"eplus-wrapper\">Here are some interesting facts about curves:<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">&nbsp;A curve is made up of many small line segments joined from end to end. If you look at it very closely, you will be able to see the lines!<\/li>\n\n\n\n<li class=\"eplus-wrapper\">The inside of a closed curve is called its interior.&nbsp;<\/li>\n\n\n\n<li class=\"eplus-wrapper\">The outside of a closed curve is called its exterior.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">Open curves like parabolas and spirals are of infinite length.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"5-solved-examples-on-curve\">Solved Examples on Curve<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><strong>1. What is a curve?&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution: <\/strong>A curve is a continuous, smooth flowing line that bends or changes direction at least once.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>2. Is the letter U an upward curve?&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution: <\/strong>Yes, the letter U is an upward curve because it bends upwards.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>3. Is an ellipse a closed or open curve?&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution: <\/strong>An ellipse is a closed curve because its ends meet, and it encloses space within it.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>4. Is the shape of the number 8 a simple or non-simple curve?&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution: <\/strong>It is a non-simple curve because it crosses its own path.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>5. Your friends are playing inside a closed, circular field, and you are standing outside the field&#8217;s boundary. Who is in the interior of the curved playground boundary?&nbsp;Solution: <\/strong>The friends are in the interior because they are inside the closed curve that is the playground boundary.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"6-practice-problems-on-curve\">Practice Problems on Curve<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">What is Curve? - Definition Facts & Example<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">Which of the following is not a curved shape?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">Cone<\/div><div class=\"spq_answer_block\" data-value=\"1\">Cylinder<\/div><div class=\"spq_answer_block\" data-value=\"2\">Cuboid<\/div><div class=\"spq_answer_block\" data-value=\"3\">Sphere<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: Cuboid<br\/>A cuboid does not have any curved sides.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">Which of the following types of curves is the letter C?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">Closed<\/div><div class=\"spq_answer_block\" data-value=\"1\">Simple<\/div><div class=\"spq_answer_block\" data-value=\"2\">Upward<\/div><div class=\"spq_answer_block\" data-value=\"3\">Non-simple<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: Simple<br\/>It is a simple curve because it does not cross itself.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">Which of the following types of curves is the shape of figure zero?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">Non-simple<\/div><div class=\"spq_answer_block\" data-value=\"1\">Open upward<\/div><div class=\"spq_answer_block\" data-value=\"2\">Simple open<\/div><div class=\"spq_answer_block\" data-value=\"3\">Simple closed<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: Simple closed<br\/>It is a simple closed curve because it does not cross itself and its ends meet to enclose space.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">Which of the following is a closed curve?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">Parabola<\/div><div class=\"spq_answer_block\" data-value=\"1\">Hyperbola<\/div><div class=\"spq_answer_block\" data-value=\"2\">Ellipse<\/div><div class=\"spq_answer_block\" data-value=\"3\">Arc<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: Ellipse<br\/>An ellipse is a closed curve because its ends join to enclose space.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">5<\/span><h3 class=\"sqp_question_text\">You are standing in a sports field that has a boundary shape of an ellipse. Your friend is standing beyond the boundary of the field. Which of the following is correct?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">You are on the exterior of the curved boundary<\/div><div class=\"spq_answer_block\" data-value=\"1\">You and your friend are both on the exterior of the curved boundary<\/div><div class=\"spq_answer_block\" data-value=\"2\">You are on the interior of the curved boundary<\/div><div class=\"spq_answer_block\" data-value=\"3\">There is no interior and exterior since the shape is an ellipse<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: You are on the interior of the curved boundary<br\/>An ellipse is a closed curve, and you are standing inside its enclosed space.<\/span><\/div><\/div><\/div><\/div>  <script type=\"application\/ld+json\">{\n        \"@context\": \"https:\/\/schema.org\/\", \n        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does not cross itself.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Closed\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"It is a simple curve because it does not cross itself.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Upward\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"It is a simple curve because it does not cross itself.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Non-simple\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"It is a simple curve because it does not cross itself.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"Simple\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"It is a simple curve because it does not cross itself.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"It is a simple curve because it does not cross itself.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Which of the following types of curves is the shape of figure zero?\",\n                    \"text\": \"Which of the following types of curves is the shape of figure zero?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"It is a simple closed curve because it does not cross itself and its ends meet to enclose space.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Non-simple\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"It is a simple closed curve because it does not cross itself and its ends meet to enclose space.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Open upward\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"It is a simple closed curve because it does not cross itself and its ends meet to enclose space.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Simple open\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"It is a simple closed curve because it does not cross itself and its ends meet to enclose space.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"Simple closed\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"It is a simple closed curve because it does not cross itself and its ends meet to enclose space.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"It is a simple closed curve because it does not cross itself and its ends meet to enclose space.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Which of the following is a closed curve?\",\n                    \"text\": \"Which of the following is a closed curve?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"An ellipse is a closed curve because its ends join to enclose space.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Parabola\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"An ellipse is a closed curve because its ends join to enclose space.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Hyperbola\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"An ellipse is a closed curve because its ends join to enclose space.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Arc\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"An ellipse is a closed curve because its ends join to enclose space.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"Ellipse\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"An ellipse is a closed curve because its ends join to enclose space.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"An ellipse is a closed curve because its ends join to enclose space.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"You are standing in a sports field that has a boundary shape of an ellipse. Your friend is standing beyond the boundary of the field. Which of the following is correct?\",\n                    \"text\": \"You are standing in a sports field that has a boundary shape of an ellipse. Your friend is standing beyond the boundary of the field. Which of the following is correct?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"An ellipse is a closed curve, and you are standing inside its enclosed space.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"You are on the exterior of the curved boundary\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"An ellipse is a closed curve, and you are standing inside its enclosed space.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"You and your friend are both on the exterior of the curved boundary\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"An ellipse is a closed curve, and you are standing inside its enclosed space.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"There is no interior and exterior since the shape is an ellipse\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"An ellipse is a closed curve, and you are standing inside its enclosed space.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"You are on the interior of the curved boundary\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"An ellipse is a closed curve, and you are standing inside its enclosed space.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"An ellipse is a closed curve, and you are standing inside its enclosed space.\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"7-frequently-asked-questions-on-curve\">Frequently Asked Questions on Curve<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-818f6d91-eca9-4632-8bed-ff6f018a5f34\" data-mobilecollapse=\"true\" data-desktopcollapse=\"true\">\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-0-818f6d91-eca9-4632-8bed-ff6f018a5f34\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-818f6d91-eca9-4632-8bed-ff6f018a5f34\"><strong>Is a polygon a curve?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-0-818f6d91-eca9-4632-8bed-ff6f018a5f34\">\n\n<p>No. A curve is made up of curved lines and may or may not be closed whereas a polygon is a closed figure made up of straight lines.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-1-818f6d91-eca9-4632-8bed-ff6f018a5f34\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-818f6d91-eca9-4632-8bed-ff6f018a5f34\"><strong>What are the types of curves you see in graphs?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-1-818f6d91-eca9-4632-8bed-ff6f018a5f34\">\n\n<p>Graph curve types include the following:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Parabola graph<\/li>\n\n\n\n<li>Hyperbola graph<\/li>\n\n\n\n<li>Downward curve graph<\/li>\n\n\n\n<li>Upward curve graph<\/li>\n\n\n\n<li>Circle graph<\/li>\n\n\n\n<li>Ellipse graph<\/li>\n<\/ul>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-2-818f6d91-eca9-4632-8bed-ff6f018a5f34\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-818f6d91-eca9-4632-8bed-ff6f018a5f34\"><strong>What is the highest or lowest part of a curve called?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-2-818f6d91-eca9-4632-8bed-ff6f018a5f34\">\n\n<p>The point where a curve is the highest or lowest is called a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/vertex\" target=\"_blank\" rel=\"noopener\" title=\"\">vertex<\/a>.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-3-818f6d91-eca9-4632-8bed-ff6f018a5f34\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-818f6d91-eca9-4632-8bed-ff6f018a5f34\"><strong>What is the main difference between a curve and a straight line?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-3-818f6d91-eca9-4632-8bed-ff6f018a5f34\">\n\n<p>While a regular straight line runs continuously in a linear direction, a curve can turn upwards, downwards, inwards, or outwards.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-4-818f6d91-eca9-4632-8bed-ff6f018a5f34\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-818f6d91-eca9-4632-8bed-ff6f018a5f34\"><strong>What is the difference between a simple and a non-simple curve?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-4-818f6d91-eca9-4632-8bed-ff6f018a5f34\">\n\n<p>Both simple and non-simple curves can be open or closed but a simple curve does not cross itself whereas a non-simple curve crosses its own path at least once.<\/p>\n\n<\/div><\/div>\n<\/div><\/div>\n<\/div>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"8-conclusion\">Conclusion<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">A curve is not just a line but can also make up a shape or a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/3-dimensional\" target=\"_blank\" rel=\"noopener\" title=\"\">three-dimensional figure<\/a>. It&#8217;s helpful to know the different types of curves.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Apart from the geometry of curves, the curve shape is also used in graphs.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>What Is a Curve? A curve is a continuous and smooth flowing line without any sharp turns. One way to recognize it is that it bends and changes its direction at least once.&nbsp; Recommended Games Identify Curved Surface Game Play More Games What Are Curved Shapes? A shape made of curves is called a curved &#8230; <a title=\"Curve &#8211; Definition, Examples, Types, Shapes, Facts, FAQs\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/curve\" aria-label=\"More on Curve &#8211; Definition, Examples, Types, Shapes, Facts, FAQs\">Read more<\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"ub_ctt_via":"","footnotes":""},"categories":[1],"tags":[],"class_list":["post-1525","post","type-post","status-publish","format-standard","hentry","category-all"],"featured_image_src":null,"author_info":{"display_name":"Mithun Jhawar","author_link":"https:\/\/www.splashlearn.com\/math-vocabulary\/author\/mithun-jhawarsplashlearn-com\/"},"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1525","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/comments?post=1525"}],"version-history":[{"count":22,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1525\/revisions"}],"predecessor-version":[{"id":40137,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1525\/revisions\/40137"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=1525"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=1525"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=1525"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}