Middle School

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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

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

Answer :

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

AB * AJ = 8 * 18 = 144 sq cm

Circle = [tex] \pi r^{2} [/tex]
=[tex] \pi 4^{2} [/tex]
=3.14 * 16
=50.24 sq cm

144 - 50.24 = 93.76 sq cm shaded area.

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