Question

A rectangular piece of paper with length 34 cm and width 16 cm has two semicircles cut out of it, as shown below.Find the area of the paper that remains. Use the value 3.14for*pi , and do not round your answer. Be sure to include the correct unit in your answer.

Answer 1

Step-by-step explanation

Lets first find the area of that rectangle:

`A_r=34cm*16cm=544\text{ }cm^2`

The part that was cut corresponds to a complete circle, the area would be:

`\begin{gathered} A_c=3.14*(8cm)^2 \\ A_c=3.14*64cm^2 \\ A_c=200.96\text{ }cm^2 \end{gathered}`

The radius is 8 cm because it is half the width of the paper.

The area of the paper that remains is:

`\begin{gathered} A=544cm^2-200.96cm^2 \\ A=343.04cm^(2^) \end{gathered}`

Answer

343.04 cm^2