Question

an automatic lawn sprinkler sprays a distance of 25 feet while rotating 45 degrees. what is the area of the sector of grass the sprinkler waters? round to two decimal places. include a carefully labeled sketch.

Answer 1

The area of the sector of grass the sprinkler waters is 245.31 square cm

Finding the area of the sector of grass the sprinkler waters

From the question, we have the following parameters that can be used in our computation:

Central angle = 45 degrees

Distance i.e. Radius = 25 feet

The area of the sector of grass the sprinkler waters is calculated as

Sector area = central angle/360 * π* Radius²

Substitute the known values in the above equation, so, we have the following representation

Sector area = 45/360 * 3.14 * 25²

Evaluate

Sector area = 245.31

Hence, the area of the sector is 245.31 square cm