Question

A designated swimming pool of a circular pond at a park is marked with two ropes attached to a buoy at the center of the pond. Each rope is $10$ yards long, and together they form an angle of ${160}^o$. What is the approximate area of the sector that is designated for swimming pole?

• A. $110c{m}^2$cm2
• B. $120c{m}^2$cm2
• C. $130c{m}^2$cm2
• D. $140c{m}^2$cm2

Answer 1

The correct option is D $140c{m}^2$cm2

Area = $\frac{n}{360}\pi r^2$
$=\frac{160}{360}\pi {10}^2$
$=44.44\pi$
= 140 $c{m}^2$