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.

Respuesta :

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

[tex] \frac{ \pi r^2}{2} [/tex]

Diameter = 21 ft
Radius = [tex]\frac{d}{2} [/tex] = [tex] \frac{21}{2} [/tex] = 10.5 ft

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