# Percentage of waste

In a square plate with side 75 cm we cut 4 same circles. Calculate the percentage of waste.

Correct result:

p =  21.46 %

#### Solution:

$S_1 = a^2 = 75^2 = 5625 \ cm \ \\ r = 75/4 = 18.75 \ cm \ \\ S_2 = \pi r^2 = \pi 18.75^2 = 1104.466 \ cm^2 \ \\ \ \\ p = 100 \cdot (S_1-4 S_2)/S_1 = \dfrac{100 \cdot (5625 - 1104.466 )}{ 5625 } = 21.46 \% \ \\$

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