Question

A rectangle is placed around a semicircle as shown below. The length of the rectangle is 8ft Find the area of the shaded region.

Use the value 3.14 for PI , and do not round your answer. Be sure to include the correct unit in your answer.

it wont let me paste the picture but please help

Answer 1

Answer: 6.88 cm sq.

1. Find the area of the rectangle

A=l *w

L=8cm

the width=the radius of the semicircle

Width=8/2=4

8*4=32

A=32cm sq

2. find area of the semicircle

area=pi times the radius squared divided by 2

r=4cm

A=(3.14)*4^2/2. The area =25.12 cm sq.

Area of the shaded region=32-25.12=6.88cm sq.