What is the equation of a circle with center (-4, 7) and radius 6?

a. (x - 4)2 + (y + 7)2 = 6
b. (x + 4)2 + (y - 7)2 = 36
c. (x + 4)2 + (y - 7)2 = 6
d. (x - 4)2 + (y + 7)2 = 36

 B.

Step-by-step explanation:

We know that the equation  of a circle having center at (h,k) and radius r is given by :-

Given : The center of the circle : (-4,7)

The radius of the circle : 6 units

Then the equation of a circle with center (-4, 7) and radius 6 will be :-

step-by-step explanation:

use pothagarean therom

a^2+b^2=c^2 so first ac

acm is a right triangle because c= 90°

and am (the hypotenuse or c) =16+9 =25

but there is not enough info we need another angle or side length