David has circular rug that has a diameter of 14 feet. What much floor will the rug cover

To find the amount of space the floor would cover, you will find the area of the rug.  Because the rug has a diameter, it is a circle.  Use the formula for finding the area of a circle.

A = pi x r^2
     3.14 x 7^2
A = 153.86 square feet

David's rug will cover approximately 153.86 square feet.