Acircle has its center at (-2, 5) and a radius of 4 units. what is the equation of the circle? answer choices:
(a) (x + 2)2 + (y - 5)2 = 16
(b) (x + 2)2+ (y + 5)2= 16
(c) (x + 2)2+(y - 5)2 = 4
(d) (x - 2)2+(y + 5)2 = 4

option (a) is correct.

The equation of a circle has its center at (-2, 5) and a radius of 4 units. is

Step-by-step explanation:

Given : A circle has its center at (-2, 5) and a radius of 4 units.

We have to choose the correct equation representing this given circle.

The general equation of circle with center (h , k) and radius 'r' is given by equation

For the given circle with center at (-2, 5) and a radius of 4 units.

that is h = -2 , k = 5 and r = 4 , we have,

substitute, we have,

Simplify , we get,

Thus, option (a) is correct.

The equation of a circle has its center at (-2, 5) and a radius of 4 units. is