Question:
What is the interior angle of a regular octagon of side length 2 cm?
2 सेमी भुजा वाले एक सम-अष्टभुज (regular octagon) का आंतरिक कोण क्या है?
Options:
- \(\dfrac{3\pi}{8}\)
- \(\dfrac{3\pi}{4}\)
- \(\dfrac{\pi}{2}\)
- \(\dfrac{3\pi}{5}\)
- \(\dfrac{3\pi}{8}\)
- \(\dfrac{3\pi}{4}\)
- \(\dfrac{\pi}{2}\)
- \(\dfrac{3\pi}{5}\)
Correct Answer: b)
Explanation:
Interior angle of regular \(n\)-gon is \(\dfrac{(n-2)\pi}{n}\). For an octagon (\(n = 8\)):
\(\theta = \dfrac{(8-2)\pi}{8} = \dfrac{6\pi}{8} = \dfrac{3\pi}{4}\).
सम \(n\)-भुज का आंतरिक कोण \(= \dfrac{(n-2)\pi}{n}\)। अष्टभुज (\(n=8\)) के लिए: \(\dfrac{6\pi}{8} = \dfrac{3\pi}{4}\)।