Question

A circle has its center at (-1, 2) and a radius of 3 units. What is the equation of the circle?

A) (x - 1)^2 + (y + 2)^2 = 3
B) (x + 1)^2 + (y - 2)^2 = 3
C) (x + 1)^2 + (y + 2)^2 = 9
D) (x + 1)^2 + (y - 2)^2 = 9

Answer 1

The equation of a circle with center (-1, 2) and radius 3 is (x + 1)² + (y - 2)² = 9, which is option D.

Step-by-step explanation:

The equation of a circle is given by the formula: (x - h)² + (y - k)² = r², where (h, k) is the center of the circle and r is the radius. For a circle with its center at (-1, 2) and a radius of 3 units, the equation is (x + 1)² + (y - 2)² = 3². Therefore, the correct equation is (x + 1)² + (y - 2)² = 9, which corresponds to option D.