Question

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

Answer 1

Answer:

see explanation

Step-by-step 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 = $\frac{3}{2}$, hence

(x - 3)² + (y - 5)² = ( $\frac{3}{2}$ )², that is

(x - 3)² + (y - 5)² = $\frac{9}{4}$ ← equation of circle