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

x² + (y + 8)² = 49

Step-by-step 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

the solution is the point

step-by-step explanation:

we have

> equation a

> equation b

adds equation a and equation b

substitute the value of x in equation b to find the value of y

the solution is the point