Question

In the figure, the center of the circle is A and ABCDEF is a regular hexagon of side 6 cm, then find the area of the shaded portion.$(\sqrt{3}=1.73,\pi =3.14)$

• A. $77.85c{m}^2$
• B. $78.85c{m}^2$
• C. $79.85c{m}^2$
• D. $76.85c{m}^2$

Answer 1

Answer: (A)

$77.85c{m}^2$

A regular hexagon can be divided as $6$ equilateral triangle.

Thus,

Area of shaded region=$5\times Areaof△ABF$

=$5\times \frac{\sqrt{3}}{4}\times (6{)}^2$

=$77.85c{m}^2$