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Pearson Geometry Common Core, 2011

PG

Pearson Geometry Common Core, 2011 View details

5. Circles in the Coordinate Plane

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Exercise 28 Page 801

Adapt the given equation to match the standard equation of a circle.

Center: (0,0)
Radius: 6
Graph:

Practice makes perfect

Let's start by recalling the standard equation of a circle. (x- h)^2+(y- k)^2= r^2Here, the center is the point ( h, k) and the radius is r. We will rewrite the given equation to match this form, and then we can identify the center and the radius.

x^2+y^2=36

Identity Property of Addition

(x+0)^2+(y+0)^2=36

Rewrite 0 as -0

(x-0)^2+(y-0)^2=36

Write as a power

(x- 0)^2+(y- 0)^2= 6^2

The center of the circle is the point ( 0, 0) and its radius is 6. Finally, we can graph the circle using this information.

Subchapter links

Lesson Check p.800

Practice and Problem-Solving Exercises p.801-803

Standardized Test Prep p.803

Mixed Review p.803