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A patio in the shape of a semicircle has a diameter of 21 ft. What is the approximate area of the patio, rounded to the nearest square foot? Use 3.14 to approximate pi star times pi.

Verified Answer :

The formula of the area of a semi circle is half the area of the circle

\(\frac{ \pi r^2}{2}\)

Diameter = 21 ft
Radius = \(\frac{d}{2}\) = \(\frac{21}{2}\) = 10.5 ft

Area = \(\frac{ \pi (10.5)^2}{2}\)
        = \(\frac{110.25 \pi }{2}\)
        =\(\frac{110.25 * 3.14}{2}\)  (3.14 as \(\pi\))
        =\(\frac{346.185}{2}\)
        =173.0925 ft² ≈ 173.1 ft² ≈ 173 ft²
To the nearest square foot : 173 ft²