A circle is drawn within a square as shown.

What is the best approximation for the area of the shaded region?

Use 3.14 to approximate pi.
A. 82.2 cm²
B. 114.2 cm²
C. 164.5 cm²
D. 268.1 cm²

Solution:

The area of the shaded region is equal to the area of the square minus the area of the circle

Find the area of the square

Where, "a" is the length of each side

From given figure in question,

a = 10 cm

Find the area of circle

The area of the circle is given as:

Where, "r" is the radius of circle

Diameter = 10 cm

Thus,

Find the area of the shaded region

Area of shaded Region = Area of Square - Area of Circle

Area of shaded Region = 100 - 78.5 = 21.5

Thus area of shaded region is 21.5 square centimeter

70,000 + 6,000 + 800 + 30

step-by-step explanation: