pi is actually about 22/7
This problem is a lot harder than it looks because you should really pack the discs in a hexagonal pattern but I suspect the best we can do is put squares around the circles.
100 /14 = 7.14 so 7 lengthwise
60/14 = 4.28 so 4 that direction
7 * 4 = 28
now
total area = 6000 cm^2
area of 28 circles = 28 (22/7)(49)
then subtract
Alex wants to cut out as many circular badges as possible from a rectangular
sheet of cardboard(100cm by 60cm). The diameter of each badge is 14 centimeters. Use 22 an approximation for pi.
a) How many badges can Alex cut?
b) What is the area of the cardboard left over?
1 answer
1 answer