Big Ideas Math Geometry, 2014
BI
Big Ideas Math Geometry, 2014 View details
Chapter Review
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Exercise 38 Page 586

(x-8)^2+(y-6)^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. Now, let's consider the following diagram.

We can see from the diagram that the center of the circle is ( 8, 6) and its radius is 6. This information is enough to write the equation. (x- 8)^2+(y- 6)^2= 6^2 ⇕ (x-8)^2+(y-6)^2=36