# What is the interior angle of a regular octagon of side length 2 cm?

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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

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

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

$\rm 6 \times \frac{180^{\circ}}{8}$

$\dfrac{3\pi}{4}$