Question
There is a regular hexagon of side 5 cm. Find its area.
This question was previously asked in
RRB NTPC 2019 CBT 1 Question Paper (8-Mar-2021) (Shift 2)
The correct answer is
$\frac{75\sqrt{3}}{2} \text{ cm}^2$
Hexagon Area Calculation
The formula for the area of a regular hexagon with side length s is:
$ \text{Area} = \frac{3\sqrt{3}}{2} s^2 $
Solving for s = 5 cm
Given the side length s = 5 cm, substitute this value into the area formula:
- $ \text{Area} = \frac{3\sqrt{3}}{2} (5 \text{ cm})^2 $
- Calculate the square of the side: $ (5 \text{ cm})^2 = 25 \text{ cm}^2 $
- Substitute back and multiply: $ \text{Area} = \frac{3\sqrt{3}}{2} \times 25 \text{ cm}^2 $
- Simplify the expression: $ \text{Area} = \frac{75\sqrt{3}}{2} \text{ cm}^2 $
The area of the regular hexagon is \(\frac{75\sqrt{3}}{2} \text{ cm}^2\).
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