# Keith is cutting two circular table tops out of a piece of plywood. the plywood is 4 feet by 8 feet

Discussion in 'Calculator Requests' started by math_celebrity, Dec 3, 2022.

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Keith is cutting two circular table tops out of a piece of plywood. the plywood is 4 feet by 8 feet and each table top has a diameter of 4 feet. If the price of a piece of plywood is \$40, what is the value of the plywood that is wasted after the table tops are cut?

Area of the plywood = 4 * 8 = 32 square feet

Calculate area of 1 round top
Diameter = 2
Radius = Diameter/2 = 4/2 = 2
Area of each round top = pir^2
Area of each round top = 3.14 * 2 * 2
Area of each round top = 12.56 square feet

Calculate area of 2 round tops
Area of 2 round tops = 12.56 + 12.56
Area of 2 round tops = 25.12 sq feet

Calculate wasted area:
Wasted area = area of the plywood - area of 2 round tops
Wasted area = 32 - 25.12
Wasted area = 6.88 sq feet

Calculate cost per square foot of plywood:
Cost per sq foot of plywood = Price per plywood / area of the plywood
Cost per sq foot of plywood = 40/32
Cost per sq foot of plywood = \$1.25

Calculate the value of the plywood:
Value of the plywood = Wasted Area sq foot * Cost per sq foot of plywood
Value of the plywood = 6.88 * 1.25
Value of the plywood = \$8.60