Write an equation of a circle whose center is (-3,2) and whose diameter is 10

The formula for a circle with center (h,k) and radius (r) is as follows:

(x – h)² + (y – k)² = r²

If the diameter of the circle is 10, we know that the radius of the circle must be equal to 5. Insert any known equations into the formula above:

(x – (-3))² + (y – 2)² = 5²

Simplify both sides of the equation:

(x + 3)² + (y – 2)² = 25

This is the equation of a circle with the given measurements.

I hope this helps!