Question

A local carpet company has been hired to carpet a planetarium which is in the shape of a circle. If the radius of the planetarium is six yards, and the cost of the carpet is $14 per square yard, find the total cost to carpet the planetarium.

Answer 1

The cost of the carpet will be given by:
cost=[area of the carpet]*[price per yard]
area of the carpet will be given by:
area=πr^2
=π*6^2
=113.1 square yards
thus the cost of the carpet will be:
113.1*14
=$1,583.4