Answer:
The area of the lawn that is covered by the water from the sprinkler is
[tex]125.6[/tex] square meter
Step-by-step explanation:
Given
The radius of the circle is 12 m
Area of the circle is [tex]\pi r^2 = \pi * 12^2 = 144\pi[/tex]
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
[tex]\frac{5}{18} * 3.14*144 = 125.6[/tex] square meter
