Question

A circular pool is 100 feet in diameter. If Kate swims along the outer edge of the pool and forms a 81 degree central angle, how far did she swim? Give your answer in a complete sentence including units.

Answer 1

We are looking for the arc length of a segment of the circumference

we will use the next formula

`\text{arc length=2}\pi r((\theta)/(360))`

where r is the radius, and theta is the angle.

in this case

r=100ft/2=50ft

theta=81°

we susbtitute

`\text{arc length=2}\pi(50)((81)/(360))=70.69ft`

She swam 70.69ft