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

Find the area of the paper that remains. Use the value 3.14 for π, and do not round your answer. Be sure to include the correct unit in your answer.

PLEASE SOMEONE HELP ME THANK YOU!!

Respuesta :

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