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3 years ago

A rectangular piece of paper with length 27cm and width 12cm has two semicircles cut out of it, as shown below.

Mathematics

1 answer:

Svetlanka [38]3 years ago

8 0

Remark

I take it the semicircles cover the full width of the paper.

So the radius is 12/2 = 6 cm

Since there are two of them, the area = a full circle.

Step One

Find the area of the rectangle before the cuts were made.

Area = L * W

L = 27

W = 12

Area = 27 * 12 = 324 cm^2

Step Two

Find the area of the circle cut outs.

r = 6

Area = pi * r^2

Area = 3.14 * 6^2

Area = 3.14 * 36

Area = 113.04 cm^2

Step Three

Find the total area left

Total Area Left = rectangle - circle

Total Area Left = 324 - 113.04

Total Area left = 210.96 cm^2 Answer

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