ABC26GN4671 · Area
Subject: General Aptitude · Chapter: Area · Exam: · Marks: · Difficulty:
Each side of a regular hexagon is 1 cm. The area of the hexagon is
(a)$3 \sqrt{2} \mathrm{cm}^{2}$
(b)$4 \sqrt{3} \mathrm{cm}^{2}$
(c)$\frac{3 \sqrt{3}}{4} \mathrm{cm}^{2}$
(d)$\frac{3 \sqrt{3}}{2} \mathrm{cm}^{2}$
Answer
Explanation
Area of a hexagon $=\frac{6 a^{2}}{4 \tan 30^{\circ}}=\left(\frac{6 \times 1^{2}}{4 \times \frac{1}{\sqrt{3}}}\right) \mathrm{cm}^{2}$ $=\left(\frac{6 \sqrt{3}}{4}\right) \mathrm{cm}^{2}=\left(\frac{3 \sqrt{3}}{2}\right) \mathrm{cm}^{2}$.
Explanation as extracted from the printed page; notation may be imperfect.
Open in whiteboard · Browse this chapter in the app