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# Need some help w this problem plz

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

Apr 14, 2020

#1
+7826
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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