Question

The equation of the circle with center at $ (2, -3) $ and radius $ 5 $ is:

• A. $ (x - 2)^2 + (y + 3)^2 = 25 $
• B. $ (x + 2)^2 + (y - 3)^2 = 25 $
• C. $ (x - 2)^2 + (y - 3)^2 = 25 $
• D. $ (x + 2)^2 + (y + 3)^2 = 25 $

Hint:

Remember the standard form of a circle’s equation: $ (x - h)^2 + (y - k)^2 = r^2 $. Pay attention to signs.

Answer 1

The Correct Option is A

Standard form of a circle: $$ (x - h)^2 + (y - k)^2 = r^2 $$
Given: center $ (h, k) = (2, -3) $, radius $ r = 5 $
Substituting: $$ (x - 2)^2 + (y + 3)^2 = 5^2 = 25 $$