{"id":6872,"date":"2014-03-31T15:55:19","date_gmt":"2014-03-31T15:55:19","guid":{"rendered":"https:\/\/schooltutoring.com\/help\/?p=6872"},"modified":"2014-12-02T08:25:31","modified_gmt":"2014-12-02T08:25:31","slug":"math-review-of-the-circle","status":"publish","type":"post","link":"https:\/\/schooltutoring.com\/help\/math-review-of-the-circle\/","title":{"rendered":"Math Review of the Circle"},"content":{"rendered":"<p><strong>Overview:<\/strong><\/p>\n<p>The circle is the conic section that is formed when a plane is perpendicular to the axis of a cone, so the circle cuts through it evenly.\u00a0\u00a0It is one of the simplest of all the geometric forms.<\/p>\n<p><strong>What Is a Circle?<\/strong><\/p>\n<p>The circumference of a circle is defined as the points in a plane that are a given distance from a fixed central point.\u00a0 The radius is the line segment from the center of the circle to a point on the circumference.\u00a0 It is the same length from the center of the circle to any point on the circumference of the circle.\u00a0 The length of the circumference equals the familiar formula 2\u03c0r, where the radius is r and the constant \u03c0 is equal to 3.1417, and is the best known of the irrational numbers.<\/p>\n<p><strong>What Is the Area of a Circle?<\/strong><\/p>\n<p>The area of a circle can be described by the equation \u03c0r<sup>2<\/sup>, where r is the radius.\u00a0 When all the points in the circle are included, it is also known as the area of a disk.\u00a0 The equation A = \u03c0r<sup>2<\/sup> is also a common example of a second-degree closed equation.<\/p>\n<p><strong>What Is the Distance Formula?<\/strong><\/p>\n<p>The formula for finding the distance between the endpoints of any line segment in a two-dimensional plane is given by the equation \u221a[(x<sub>1<\/sub>-x<sub>2<\/sub>)<sup>2<\/sup> + (y<sub>1<\/sub>-y<sub>2<\/sub>)<sup>2<\/sup>] where the point at one end of the line segment \u00a0has the coordinates x<sub>1, <\/sub>y<sub>1<\/sub> and the point at the other end of the line segment has the coordinates x<sub>2<\/sub>, y<sub>2<\/sub>.\u00a0 For example, suppose Point 1 has the coordinates (0, -1) and Point 2 has the coordinates (4, -1).\u00a0 In that case, (0-4) will be -4 and (-1 + 1) will be 0.\u00a0 The square root of 16 &#8211; 0 is 4, so the line segment is 4 units long.<\/p>\n<p><strong>What Is the Distance Formula for a Circle?<\/strong><\/p>\n<p>Using the distance formula, the center and radius of any circle can be found in the two-dimensional plane.\u00a0 The difference is that the general form of the equation will have negative signs. \u00a0If the center of a circle is at the origin point of a graph, the coordinates for the radius will follow a specific pattern x<sup>2<\/sup> + y<sup>2<\/sup> = r<sup>2<\/sup>. Suppose that the coordinates of the circle follow the equation x<sup>2<\/sup>+ y<sup>2<\/sup> = 16.\u00a0 The radius will be \u221a16, or 4 units long.<\/p>\n<p>Interested in <a href=\"https:\/\/schooltutoring.com\/math-tutoring\/geometry-tutoring\/\">geometry tutoring services<\/a>? Learn more about how we are assisting thousands of students each academic year.<\/p>\n<p><span class=\"tutorOrange\">SchoolTutoring Academy<\/span> is the premier educational services company for K-12 and college students. We offer tutoring programs for students in K-12, AP classes, and college. To learn more about how we help parents and students in Idaho Falls, ID: visit <a href=\"https:\/\/schooltutoring.com\/tutoring-in-idaho-falls-idaho\/\">Tutoring in Idaho Falls, ID<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Overview: The circle is the conic section that is formed when a plane is perpendicular to the axis of a cone, so the circle cuts through it evenly.\u00a0\u00a0It is one of the simplest of all the geometric forms. What Is a Circle? The circumference of a circle is defined as the points in a plane [&hellip;]<\/p>\n","protected":false},"author":22,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"inline_featured_image":false,"footnotes":""},"categories":[2,10],"tags":[285,382,2662,1478],"class_list":["post-6872","post","type-post","status-publish","format-standard","hentry","category-algebra","category-geometry","tag-circle","tag-conic-sections","tag-distance-formula","tag-radius"],"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/posts\/6872","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/users\/22"}],"replies":[{"embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/comments?post=6872"}],"version-history":[{"count":0,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/posts\/6872\/revisions"}],"wp:attachment":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/media?parent=6872"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/categories?post=6872"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/tags?post=6872"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}