Question

The center of a circle is located at C(0, -8). Its area is 49*pi.

Answer 1

x² + (y + 8)² = 49

Explanation:

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Standard form is

(x - h)² + (y - k)² = r²

using (h, k) = (0, -8)

x² + (y + 8)² = r²

use the area to find r²

a = πr²

49π = πr²

Divide both sides by π

49 = r²

Now the equation can be completed

x² + (y + 8)² = 49