121k views
3 votes
A rectangular paperboard measuring 35 in long and 26 in wide has a semicircle cut out of it, as shown below.Find the area of the paperboard that remains. Use the value 3.14 for , and do not round your answer. Be sure to include the correct unit in your answer.

A rectangular paperboard measuring 35 in long and 26 in wide has a semicircle cut-example-1
User Bazinga
by
7.3k points

1 Answer

3 votes
Answer:

The area of the remaining paperboard = 644.67in²

Explanations:

The length of the rectangular paperboard = 35 in

The width of the rectangular paperboard = 26 in

Area = Length x Width

The area of the rectangular paperboard = 35 x 26

The area of the rectangular paperboard = 910 in²

The diameter of the semicircle cut, d = 26 in

Area of a semicircle = πd²/8

where π = 3.14

The area of the semicircle cut = (3.14 x 26²)/8

The area of the semicircle cut = 265.33 in²

The area of the remaining paperboard = (Area of the rectangular paperboard) - (Area of the semicircular cut)

The area of the remaining paperboard = 910in² - 265.33in²

The area of the remaining paperboard = 644.67in²

User Brett Santore
by
7.6k points