equation of a circle

Question

Write the equation of the circle that has its center at (–3, –2) and passes through (1, –2).

Answer 1

center (-3 , -2) passes through ( 1 , -2).

radius -3 to 1 = 4

equation of circle

(x - h)² + ( y - k )² = r ²

(x + 3 ) ² + (y + 2 ) ² = 4²

(x + 3 )² + ( y + 2 )² = 16

Answer 2

Determine the distance between (-3, -2) and (1, -2).

This is the radius.

Now substitute values into the formula.