Question

a circle is described by the equation (x-3)2 + (y+2)2=25 what are the center and radius of the circle

Answer 1

centre = (3, - 2 ) , radius = 5

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

(x - 3 )² + (y + 2 )² = 25 ← is in standard form

with (h, k ) = (3, - 2 ) as centre and r =
`√(25)` = 5 as radius