### Instruction: What is the diameter in centimeters of a circle whose area is $100\pi \text{cm}^2$?### Response: Ok, let's start with the formula for the area of a circle, which is $\pi r^2$.
Yes, that's right. We want to find r, the radius of the circle.
So we can substitute in the values we know. $100\pi=\pi r^2$.
If we divide both sides by $\pi$, we get $100=r^2$.
So $r=10$.