Problema Solution
A circular playground for a daycare center is to be covered with 9" square tiles. The circle has a diameter of 12 ft. The tiles are packaged in boxes of 25 tiles. How many boxes of tiles are needed?
Answer provided by our tutors
Let
r = 12/2 = 6 ft = 6*12 = 72 in the radius of the circle
The area of the circular playground with radius r is:
A = r^2 pi
A = 72^2 pi
A = 5184 pi in^2
The total number of 9" square tiles is:
A /9 = 5184 pi/9 = (5184*3.14)/9 = 1809
Each box has 25 files this the number of boxes needed is:
1809/25 = 72.36 boxes but since the number of boxes is an integer number the solution is: 73 boxes of tiles are needed.