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Find the area of the figure below, composed of a rectanlge with two semicircles removed.

 

 Apr 14, 2020
 #1
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Area of figure = Area of rectangle - 2 (Area of semicircle)

 

Two semicircle of the same radius, say r, has the same area as a circle with that radius r.

 

Notice that the area of a circle with diameter d is \(\dfrac{\pi d^2}{4}\).

 

   Area of figure

= Area of rectangle - (Area of circle with diameter 6)

\(15(6) - \dfrac{\pi \cdot 6^2}{4}\)

\(90 - 9\pi\)

\(\approx 61.7\)

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 Apr 14, 2020
 #2
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right!

MEISCOOL1011  Apr 15, 2020

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