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=

Verified Answer :

W0lf93

So we want to know what is the area of the shaded reagion that consists of a circle inside a square If the side of the square is a=10cm. For that we simply calculate both areas and subtract the area of a circle from the area of a square: area of a square A=10^2=100 cm^2, area of a circle B=pir^2 where r=a/2. So: B=3.145^2=78.5cm^2: A-B=100-78.5=21.5cm^2 So the correct answer is D