Question

Find the center and radius of the radius of the circle with the given equation. x^2 + (y+7)^2 = 64

Answer 1

Answer: Center = (0, -7)

Radius = 8

Explanation:

The equation of a circle is: (x - h)² + (y - k)² = r² where

• (h, k) is the center
• r is the radius

x² + (y + 7)² = 64

→ (x - 0)² + (y - (-7))² = 8²

↓ ↓ ↓

h=0 k=-7 r=8

• (h, k) = (0, -7)
• r = 8

Answer 2

The standard form of a circle is (x - c)² + (y - d)² = r² where (c, d) is the center and r is the radius. This means that the center is (0, -7) and the radius is 8.