The sector shows the area of a lawn that will be watered by a sprinkler. what is the area, rounded to the nearest tenth? use 3.14 for

The area of the sector which represents the lawn irrigated by the sprinkler is:

Recall:

Given:

length of arc = 10 feet

First, find the radius using the length of arc formula.

radius = 19.2 ft

Find the area of the sector:

Area of sector =

The area of the sector which represents the lawn irrigated by the sprinkler is:

Learn more here:

link

Step-by-step explanation:

step 1

Find the radius of the circle

we know that

A circumference of the circle subtends a central angle of 360 degrees

so

using proportion

step 2

Find the area of sector

we know that

The area of the circle subtends a central angle of 360 degrees

so using proportion

Let

x ----> the area of the sector

the barter

36

step-by-step explanation: