Question

Which equation represents a circle with a center located at (-2,2) and a circumference of 16π

Answer 1

(x + 2)² + (y - 2)² = 64

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 =
`(16\pi )/(2\pi )` = 8

Hence

(x + 2)² + (y - 2)² = 64 ← equation of circle