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किसी समबहुभुज का प्रत्येक आंतरिक कोण \(\frac{5\pi}{6}\) है। उसकी भुजाओं की संख्या क्या है?

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

Explanation opens after your attempt
Correct Answer

C. (12)

Step 1

Concept

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).

Step 2

Why this answer is correct

The correct answer is C. (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).

Step 3

Exam Tip

समबहुभुज का आंतरिक कोण (\frac{(n-2)\pi}{n}) होता है। (\frac{(n-2)\pi}{n}=\frac{5\pi}{6}) से (n=12) मिलता है।

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