Question

Find the standard equation of the circle having the given center and radius center (3,5) Radius 3/2

Answer 1

see explanation

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, 5) and r =
`(3)/(2)`, hence

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

(x - 3)² + (y - 5)² =
`(9)/(4)` ← equation of circle