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.
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
