Question

choose the standard form of the equation of the circle with radius 5 √ 3 centered at( -6, 2) please help ​

Answer 1

(x + 6)² + (y - 2)² = 75

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) = (- 6, 2) and r = 5
`√(3)`, hence

(x - (- 6))² + (y - 2)² = (5
`√(3)` )², that is

(x + 6)² + (y - 2)² = 75