Question

Four circular cardboard pieces of radii 7 cm are placed on a paper in such a way that each piece touches other two pieces. Find the area of the portion enclosed between these pieces.

Answer 1

Required area of shaded portion

= Area of square ABCD - 4 × area of one quadrant

$= 14 \times 14 - 4 \times \frac{90}{360} \times \frac{22}{7} \times (7) \times (7)$

$= 196 - 154 = 42 \: cm {}^{2}$