Question

Find an equation of the circle that satisfies the given (−7, −5); radius 8

A) (x + 7)² + (y + 5)² = 64
B) (x - 7)² + (y - 5)² = 64
C) (x + 7)² + (y + 5)² = 8
D) (x - 7)² + (y - 5)² = 8

Answer 1

The equation of the circle is (x + 7)² + (y + 5)² = 64.

Step-by-step explanation:

To find the equation of a circle, we use the formula (x - h)² + (y - k)² = r², where (h, k) is the center of the circle and r is the radius. In this case, the center is (-7, -5) and the radius is 8.

Substituting these values into the formula, we get (x + 7)² + (y + 5)² = 64. So the equation of the circle that satisfies the given point and radius is (x + 7)² + (y + 5)² = 64.