Answer:
(x + 2)² + (y - 2)² = 64
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
here (h, k) = (- 2, 2), thus
(x + 2)² + (y - 2)² = r²
Given C = 2πr = 16π ( divide both sides by 2π )
r = [tex]\frac{16\pi }{2\pi }[/tex] = 8
Hence
(x + 2)² + (y - 2)² = 64 ← equation of circle
