Question

A rectangle is placed around a semicircle as shown below. The length of the rectangle is 3 cm. Find the area if shaded region. Use the value 3.14 for pie, And do not round your answer.

Answer 1

0.9675sq.cm

Explanation:

Find a related diagram attached

Area of the shaded region = Area of rectangle - area of semicircle

Area of rectangle = 3cm * 1.5cm

Area of rectangle = 4.5sq.cm

Given

diameter of the semicircle = 3cm

area = πd²/8

Area of the semicircle = 3.14(3)²/8

Area of the semicircle = 3.5325sq.cm

Area of the shaded region = 4.5 - 3.5325

Area of the shaded region = 0.9675sq.cm