Question

Consider the figure in the diagram above. ABJK is a rectangle. There are two semicircles cut out of the rectangle. AB=8cm; AJ=18cm Find the area of the shaded portion. You must show all of your work to get credit

Answer 1

First find the area of the rectangle, then remove the circular area.

AB * AJ = 8 * 18 = 144 sq cm

Circle =
`\pi r^(2)`
=
`\pi 4^(2)`
=3.14 * 16
=50.24 sq cm

144 - 50.24 = 93.76 sq cm shaded area.