{"id":7439,"date":"2016-07-06t16:39:33","date_gmt":"2016-07-06t23:39:33","guid":{"rendered":"\/\/www.catharsisit.com\/hs\/?p=7439"},"modified":"2016-07-01t16:40:41","modified_gmt":"2016-07-01t23:40:41","slug":"act-math-how-to-solve-circle-problems","status":"publish","type":"post","link":"\/\/www.catharsisit.com\/hs\/act\/act-math-how-to-solve-circle-problems\/","title":{"rendered":"act math: how to solve circle problems"},"content":{"rendered":"

solving problems that have to deal with circles may look intimidating at first, so i’ll break down what to look out for when dealing with circles on act math<\/a>. after that, we’ll go right into the skills and definitions needed for the test.<\/p>\n

the formulas themselves are not too difficult to remember. what might trip you up, however, are the vast amount of key terms you are expected to know.<\/p>\n

lastly, since act test makers have a tendency to combine circles, triangles, and other possibe shapes together in one problem, you’ll need to utilize skills from all parts of your geometry toolkit to handle them.<\/p>\n

\"circles<\/p>\n

act math: definition of a circle<\/h2>\n

a circle is a set of all the points that are equidistant from a point (the center of the circle). you probably already know what a circle looks like, but it’s important to know the formal definition so that you can confidently handle any conceptual problems that come up.<\/p>\n

act math: glossary of circle terms<\/h2>\n

radius<\/strong><\/p>\n

a line drawn from the center of a circle out to the edge of the circle.<\/p>\n

formula: r<\/p>\n

diameter<\/strong><\/p>\n

a line drawn from one edge of a circle out to the other side of the circle. it goes through the center of the circle, cutting it in half.<\/p>\n

formula: 2r<\/p>\n

circumference<\/strong><\/p>\n

the length of the perimeter of the circle.<\/p>\n

formula: 2*(pi)*r<\/p>\n

area<\/strong><\/p>\n

the size of the enclosed region of a circle.<\/p>\n

formula: (pi)r2<\/sup><\/p>\n

arc length<\/strong><\/p>\n

the length of a particular fraction of the circumference of a circle.<\/p>\n

formula: (x\/360)*circumference<\/p>\n

x equals the number of degrees of the arc’s central angle.<\/p>\n

minor arc<\/strong><\/p>\n

the shorter distance along a circle between two points on the edge of the circle.<\/p>\n

major arc<\/strong><\/p>\n

the longer distance along a circle between two points on the edge of the circle.<\/p>\n

sector<\/strong><\/p>\n

the area of a circle enclosed by an arc and two radii.<\/p>\n

formula: (n\/360)*(area)<\/p>\n

n is the degree measure of the central angle of the sector.<\/p>\n

concentric circles<\/strong><\/p>\n

circles that have the same center and are of a different size.<\/p>\n

semicircle<\/strong><\/p>\n

half of a circle is called a semicircle.<\/p>\n

chord<\/strong><\/p>\n

a line that goes from one edge of the circle to the other side. unlike the diameter, chords don’t necessarily have to go through the center.<\/p>\n

a diameter is a chord, but a chord is not necessarily a diameter.<\/p>\n

tangent<\/strong><\/p>\n

a line on the outside of the circle that touches the circle at only one point. the radius of the circle that touches that point forms a right angle with the tangent line.<\/p>\n

central angle<\/strong><\/p>\n

the angle that is formed by two radii.<\/p>\n","protected":false},"excerpt":{"rendered":"

math problems about circles may look intimidating at first, so this post breaks down what to look out for when dealing with circles on act math.<\/p>\n","protected":false},"author":158,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[90],"tags":[],"ppma_author":[24918],"acf":[],"yoast_head":"\nact math: how to solve circle problems<\/title>\n<meta name=\"description\" content=\"math problems about circles may look intimidating at first, so this post breaks down what to look out for when dealing with circles on act math.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"\/\/www.catharsisit.com\/hs\/act\/act-math-how-to-solve-circle-problems\/\" \/>\n<meta property=\"og:locale\" content=\"en_us\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" 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