A rectangular piece of paper with length 38cm and width 16cm has two semicircles cut out of it.
Find the area of the paper that remains. Use the value 3.14 for pi , and do not round your answer. Be sure to include the correct unit in your answer.

Question

A rectangular piece of paper with length 38cm and width 16cm has two semicircles cut out of it.
Find the area of the paper that remains. Use the value 3.14 for pi , and do not round your answer. Be sure to include the correct unit in your answer.

campbell_st · Answer

so start by finding the area of the rectangle

$$Area = length ~\times~ width$$

so the diagram looks roughly like 

|dw:1424669983897:dw|

the 2 semicircles form 1 full circle with the same radius

so the area remaining is 

$$Area ~ Left = Rectangle~ Area - Circle~Area$$

hope it helps