A rotating lawn sprinkler sprays water in a circular area of grass, as shown in the picture. The diameter of the circular area of grass is 16 ft.Which measurement is closest to the area in square feet that this sprinkler sprays with water?

Respuesta :

The measurement that is closest to the area in square feet that this sprinkler sprays with water is 201.062 ft².

Area of Circle

[tex]\rm{ Area\ of\ circle = \pi \times (radius)^2[/tex]

Given to us,

Diameter of the circular area of grass, d = 16 ft.,

The radius of the circular area of grass,  [tex]r = \dfrac{Diameter}{2} = \dfrac{16}{2} = 8\ ft[/tex],

Area of sprinkler sprays

Area in which the sprinkler sprays with water = Area of the circle

                                                                           [tex]= \pi \times r^2\\= \pi \times 8^2\\=\pi \times 64\\= 201.0619\approx 201.062\ ft^2[/tex]

Hence, the measurement that is closest to the area in square feet that this sprinkler sprays with water is 201.062 ft².

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