Answer:
The equation of the circle is

Explanation:
we know that
The equation of a circle in standard form is equal to

where
(h,k) is the center
r is the radius
step 1
Find the radius of the circle
The radius of the circle is equal to the distance from the center to any point on the circle
we have
(–5, –3) and (–2, 1)
Find the distance
the formula to calculate the distance between two points is equal to
substitute
step 2
Find the equation of the circle
we have

substitute



therefore
The equation of the circle is
