Each interior angle of a regular polygon is (\frac{5\pi}{6}). What is the number of its sides?

Question

Answer and explanation

Correct answer: (12)

The interior angle of a regular polygon is (\frac{(n-2)\pi}{n}). From (\frac{(n-2)\pi}{n}=\frac{5\pi}{6}) we get (n=12).

What is the correct answer to this question?

(12)

Why is this the correct answer?

The interior angle of a regular polygon is (\frac{(n-2)\pi}{n}). From (\frac{(n-2)\pi}{n}=\frac{5\pi}{6}) we get (n=12).

Which subject and chapter does this question cover?

This is a Class 12 Mathematics question. Chapter: Trigonometric Functions. Topic: Angles.