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. (use 3.14 for π)

This is the concept of application of geometry and financial mathematics; To calculate for the total cost of the carpet we proceed as follows;

Total cost=[area of the carpet]*[price per square yard]

area of carpet is given by:

Area=πr^2

where;

radius, r=6 yeards

=π*6^2

=113.1 square yards

therefore the price of the carpet will be:

113.1*14

=$1,583.4