Question

Write the equation of the given circle.

center at (-3,-10), d=24

Answer 1

(x + 3)² + (y + 10)² = 144

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 ) = (- 3, - 10 ) and d = 24, then r = 24 ÷ 2 = 12

(x - (- 3) )² + (y - (- 10) )² = 12² , that is

(x + 3)² + (y + 10)² = 144