Question

Write the equation of the circle with a center of (-5, 3) and a radius of 4.

A
(x + 5)2 + (y - 3)2 = 4
B
(x - 5)2 + (y + 3)2 = 4
(X - 5)2 + (y + 3)2 = 16
D
(x + 5)2 + (y - 3)2 = 16

Answer 1

D

Explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k ) = (- 5, 3 ) and r = 4 , then

(x - (- 5))² + (y - 3)² = 4² , that is

(x + 5)² + (y - 3)² = 16 → D

Answer 2

C

Explanation: