Question

A rectangular sheet of acrylic is 50 cm by 25 cm . From it 60 circular buttons, each of diameter 2.8 cm have been cut out. The area of the remaining sheet is

• A. 1260.82 $c{m}^2$
• B. 880.4 $c{m}^2$
• C. 630.4 $c{m}^2$
• D. None of these

Answer 1

The correct option is B 880.4 $c{m}^2$

Required area
= Area of sheet - 60 $\times$ area of 1 button
$=(50\times 25-60\times \frac{22}{7}\times 1.4\times 1.4)c{m}^2$
$=(1250-369.6)c{m}^2$
$=880.4c{m}^2$