Question

Enter the equation of the circle described below.
Center (-1,4), radius = sqrt3

Answer 1

The equation of a circle always follows this:

(x - x1) + (y - y1) = r^2

x1 and y1 represent the coordinates as POSITIVE numbers and the r represent the radius

Your answer is (x + 1) + (y - 4) = 3

Answer 2

(x + 1)² + (y - 4)² = 3

Explanation:

The equation of a line 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, 4) and r =
`√(3)`, hence

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

(x + 1)² + (y - 4)² = 3 ← equation of circle