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Area of Polygons

Find the area...

Question

Find the area of a regular hexagon with sides of 0.5 mm and apothem is 10 mm.

A

11

m m^{2}

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B

15

m m^{2}

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C

16

m m^{2}

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D

13

m m^{2}

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Solution

The correct option is B 15 $m m^{2}$
Area of regular hexagon = $\frac{p e r i m e t e r \times a p o t h e m}{2}$
Perimeter = number of sides $\times$ side length
Perimeter = $6 \times 0.5 = 3$ mm
So, Area = $\frac{3 \times 10}{2}$
Area = $15$ $m m^{2}$

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