Question

A rectangle is placed around a semicircle as shown below. The length of the rectangle is 6cm . Find the area of the shaded region. Use the value 3.14 for π , and do not round your answer. Be sure to include the correct unit in your answer.

Answer 1

The shaded area is the area of the rectangle minus the area of the hemisphere.

A=(6*3)-(π3^2)/2

A=18-9π/2

A=18-4.5π, and if we approximate π≈3.14

A=18-4.5(3.14)

A=18-14.13

A=3.87 cm^2