Question

The center of a circle is at (−2, −7) and its radius is 6.

What is the equation of the circle?

A. (x−2)2+(y−7)2=3

B. (x+2)2+(y+7)2=3

C. (x+2)2+(y+7)2=36

D. (x−2)2+(y−7)2=36

Answer 1

It is C. There are multiple ways you can arrive to this. 
You might remember the formula for the circrle: 
(x-a)^2+(y-b)^2=r^2
where (a,b) is the center of the circle and r is the radius. 

Answer 2

The equation of the circle with center (−2, −7) and radius 6 is (x + 2)² + (y + 7)² = 36

How to determine the equation of the circle?

The given parameters are:

Center (a,b) = (-2,-7)

Radius, r = 6

The equation  of a circle is represented as:

(x - a)² + (y - b)² = r²

So, we have:

(x + 2)² + (y + 7)² = 6²

Evaluate

(x + 2)² + (y + 7)² = 36

Hence, the equation of the circle is (x + 2)² + (y + 7)² = 36

Read more about circle equations at:

https://brainly.com/question/1559324

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