Question

The circle below is centered at the point -1, 2) and has a radius of length 3.

WhatIs its equation?

Answer 1

(x + 1)² + (y - 2)² = 9

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) = (- 1, 2) and r = 3, thus

(x - (- 1))² + (y - 2)² = 3², that is

(x + 1)² + (y - 2)² = 9 ← equation of circle