Question

Which equation is an equation of a circle with a radius of 4 and its center is at (3, -2)? Responses (x - 3)² + (y + 2)² = 4 (x - 3)² + (y + 2)² = 4 (x + 3)² + (y - 2)² = 16 (x + 3)² + (y - 2)² = 16 (x - 3)² + (y + 2)² = 16 (x - 3)² + (y + 2)² = 16 (x + 3)² + (y -

Answer 1

(x - 3)² + (y + 2)² = 16

Explanation:

You want the equation of a circle with center (3, -2) and radius 4.

Equation of a circle

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

(x -h)² +(y -k)² = r²

For center (h, k) = (3, -2), and radius r = 4, this is ...

(x -3)² +(y -(-2))² = 4²

(x -3)² +(y +2)² = 16