Write the equation of the circle with center (3, 2) and (−6, −4) a point on the circle.
a) (x + 6)2 + (y + 4)2 = 13
b) (x + 3)2 + (y + 2)2 = 117
c) (x − 6)2 + (y − 4)2 = 13
d) (x − 3)2 + (y − 2)2 = 117

D.

Step-by-step explanation:

To write the equation of a circle, use the formula where the center of the circle is (h, k).

This means the equation is .

Find the radius r by finding the distance between (3,2) and (-6,-4) using the distance formula.

Since the radius is √117 and therefore .

The equation is .

step-by-step explanation: