Answered

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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)

Sagot :

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

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