Question

question 4 of 10 which of the following is the equation for a circle with a radius of r and center at (h, v)? a. (x + h)^2+(y + v)^2 = r^2 b. (x - v)^2+(y - h)^2 = r^2 c. h^2 + v^2 = r^2 d. (x - h)^2+(y - v)^2 = r^2

Explanation:

Step1: Recall circle - equation formula

The standard form of the equation of a circle with center $(h,k)$ and radius $r$ is $(x - h)^2+(y - k)^2=r^2$. In this case, the center is $(h,v)$, so we substitute $k = v$ into the formula.

Answer:

D. $(x - h)^2+(y - v)^2=r^2$