meerkat18
Answered

What is the approximate area of the shaded region?

A.178.5 square centimeters
B. 100 square centimeters
C. 78.5 square centimeters
D. 21.5 square centimeters

What is the approximate area of the shaded region? A.178.5 square centimeters B. 100 square centimeters C. 78.5 square centimeters D. 21.5 square centimeters class=

Answer :

arthurpdc
If we consider that the figure is a square and the white region of the figure is a circle, the area of the shaded region is:

[tex]S=S_{square}-S_{circle}=\ell^2-\pi r^2=10^2-\pi5^2=100-25\pi\\\\ S\approx100-25\cdot3.14=100-78.5\\\\ \boxed{S\approx21.5~cm^2}\Longrightarrow Alternative~D[/tex]

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