Question

A circle has center

Answer 1

Note that the equation of the circle is

(x-h)² +(y-k)² =r²

where centre is (h,k)

the equation of the circle based on the information given

(x-3)² +(y-4)² =r²
and the point on the circle (3,-2)

substitute into the equation

(3-3)² +(-2-4)² =r²

r=6 or r=-6

since r is radius, we reject r=-6 since radius must be nonnegative.

the radius is 6