Question

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

A. (x - 3)² + (y + 5)² =9
B. 3 (x - 3)² + (y + 5)² =9
C. (x + 3)² + (y - 5)² =9
D. (x + 3)² + (y - 5)² =3

Answer 1

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

(x - h)² + (y - k)² = r²

So, substituting the values given in the question, we get:

(x - 3)² + (y + 5)² = 3²

Simplifying, we get:

(x - 3)² + (y + 5)² = 9

Therefore, the correct option is A) (x - 3)² + (y + 5)² = 9.

Explanation: