McGraw Hill Glencoe Geometry, 2012
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McGraw Hill Glencoe Geometry, 2012 View details
1. Areas of Parallelograms and Triangles
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Exercise 47 Page 786

x^2+y^2=36

Practice makes perfect
Let's start by recalling the standard form of an equation of a circle.

(x- h)^2+(y- k)^2= r^2 In this form, ( h, k) is the center of the circle and r is its radius. We are told that the center of the circle is at the origin, so its coordinates are ( 0, 0). We also know that its diameter is 12. The radius of a circle is half the length of the diameter so the radius of this circle is 6. This information is enough to write the equation. (x- 0)^2+(y- 0)^2= 6^2 ⇕ x^2+y^2=36