Question

A horse trots in a circle around its trainer at the end of a 22-foot-long rope. Find the area of the circle that is swept out. Round to the nearest square foot.

Answer 1

The horse describes a circle with radius 22.

The area for a circle with radius $r$ is $A=\pi r^2$

So, in your case, we have

$A=\pi r^2 = 22\cdot 22\cdot\pi=484\pi$

Since $\pi\approx 3.14$, we have

$A\approx 484\cdot 3.14=1519.76$

If we have to round this to the nearest square foot, we have 1520.