# A circular mat with diameter 7 inches is placed on a square tabletop, each of whose sides is 10 ...

A circular mat with diameter 7 inches is placed on a square tabletop, each of whose sides is 10 inches long. Which of the following is closest to the fraction of the tabletop covered by the mat?

## Answer/Solution

3/2

### Steps/Work

SO we are looking for the area of the cloth over the area of the table

Area of the Cloth = (pi)(r)^2 which is about (22/7)(7)(7)

Area of the Table = (10)(10)

So the quick way to estimate is looking at the fraction like this:154/100 nearest to 3/2

Answer: D

Area of the Cloth = (pi)(r)^2 which is about (22/7)(7)(7)

Area of the Table = (10)(10)

So the quick way to estimate is looking at the fraction like this:154/100 nearest to 3/2

Answer: D