Find the equation for the circle with center (- 2, - 1) and passing through (- 4, - 2) ) . Write the equation for the circle .

Answer 1

Equation of circle: (x-h)² + (y-k)² = r², where (h,k) is the center and r is the radius.

So, we have (x + 2)² + (y + 1)² = r²

Since (-4,-2) is a point on the circle,

(-4 + 2)² + (-2 + 1)² = r²

r² = 5

So, an equation of the circle is: (x + 2)² + (y + 1)² = 5