Find an equation of the circle that satisfies the stated conditions. Center C(2, - 4) , radius 2

Question

Find an equation of the circle that satisfies the stated conditions. Center C(2, - 4) , radius 2

Answer 1

Recall that the standard form for the equation of a circle is

(x - h)² + (y - k)² = r²

where (h,k) is the point located at the center of the circle, and r is the radius.

This means that we can simply plug the given values into this equation,

(x - (2))² + (y - (-4))² = (2)²

(x - 2)² + (y + 4)² = 4