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!
