Question

A rectangle is placed around a semicircle as shown below. The length of the rectangle is 8cm. find the area if shaded region. use the value 3.14 for pie, And do not round your answer.

Answer 1

we know that
Area of the shaded reigion=Area of the rectangle-Area semicircle

step 1
find the area of the rectangle
A=L*W
L=8 cm
W------> is the radius of the semicircle
W=8/2-----> W=4 cm
A=8*4-----> A=32 cm²

step 2
find the area of the semicircle
A=pi*r²/2
r=4 cm
A=(3.14)*4²/2-----> A=25.12 cm²

step 3
Area of the shaded reigion=32-25.12-------> 6.88 cm²

the answer is
6.88 cm²