Question

A sprinkler sprays in a circular pattern at a radius of 12 meters. If the degree of the circle that

is covered is 100°, what is the area of the lawn that is covered by the water from the
sprinker? (Round to the nearest hundredth of a meter)

Answer 1

The area of the lawn that is covered by the water from the sprinkler is

`125.6` square meter

Explanation:

Given

The radius of the circle is 12 m

Area of the circle is
`\pi r^2 = \pi * 12^2 = 144\pi`

For one complete circle, the degree of rotation is 360 degrees.

Area of lawn covered by rotation of 100 degrees only is 100/360 = 5/18

The area of the lawn that is covered by the water from the sprinkler is

`(5)/(18) * 3.14*144 = 125.6` square meter