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