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 ar

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)

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Eirian 5 months 2021-08-23T10:34:31+00:00 1 Answers 2 views 0

Answers ( )

  1. Calantha
    0
    2021-08-23T10:36:17+00:00
    Reply

    Answer:

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

    125.6 square meter

    Step-by-step 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

    \frac{5}{18} * 3.14*144 = 125.6 square meter

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