Question

A park has a circular are for a fountain that has a circumference of about 16 feet. What is the radius of the circular area? Round to the nearest tenth.

Answer 1

`The\ circumference\ of\ a\ circle:C=2\pi r\ \ \ \ (r-radius)\\\\C=16ft\\\\2\pi r=16\ \ \ \ \ \ |divide\ both\ sides\ by\ 2\pi\\\\r=(16)/(2\pi)\\\\r=(8)/(\pi)\\\\we\ accept\ the\ approximation\ of\ \pi\approx3.14\\\\r=(8)/(\pi)\approx(8)/(3.14)\approx2.5\ (ft)`

Answer 2

`C=2 \pi R \\ \\ C=16ft \\ \\ 2\pi R=16 => \boxed{R=(16)/(2\pi)=(8)/(\pi)} \\ \\ R=(8)/(\pi)=(8)/(3.14) \\ \\\boxed{\boxed{R \approx 2.5}}`