Question

A rectangular acrylic sheet is $36cm$ by $25cm$. From it, $56$ circular buttons, each of diameter $3.5cm$ have been cut out. Find the area of the remaining sheet

Answer 1

Given: A rectangular acrylic sheet is $36cm$ by $25cm.$

Remaining area $=$ area of sheet $-56$ $\times$ area of $1$ circular button

$=(36\times 25)-56\times \left(\pi r^2\right)$

$=900-(\frac{22}{7}\times \frac{3.5}{2}\times \frac{3.5}{2})\times 56$

$=900-539$

$=361$${cm}^2$