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 A1785 square centimeters B 100 square centimeters C 785 square centimeters D 215 square centimeters class=

Respuesta :

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]