Question

Write an equation for the circle with center(-1,-5) and Radius 4sqrt3

Answer 1

(x + 1)² + (y + 5)² = 48

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, - 5) and r = 4
`√(3)`, so

(x - (- 1))² + (y - (- 5))² = (4
`√(3)` )², that is

(x + 1)² + (y + 5)² = 48 ← equation of circle