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What is the interior angle of a regular octagon of side length 2 cm?
1. \(\dfrac{\pi}{2}\)
2. \(\dfrac{3\pi}{4}\)
3. \(\dfrac{3\pi}{5}\)
4. \(\dfrac{3\pi}{8}\)

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Correct Answer - Option 2 : \(\dfrac{3\pi}{4}\)

Concept:

The interior angle of a regular polygon is given by:  

\(\rm (n - 2) \times \frac{180^{\circ}}{n}\)

Where, n = number of sides

Interior Angle = 180°- Exterior Angle

Calculation:

Regular Octagon has 8 sides

so, n = 8

Interior Angle

\(\rm (n - 2) \times \frac{180^{\circ}}{n}\)

\(\rm (8 - 2) \times \frac{180^{\circ}}{8}\)

\(\rm 6 \times \frac{180^{\circ}}{8}\)

\(\dfrac{3\pi}{4}\)

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