Question

A regular octogon is insrcibed in a circle, find the angle subtended by the each side at the centre.

• A. 45

Answer 1

The correct option is A 45
If a 'n' sided regular polygon is inscribed in a circle, then the angle subtended at the centre by each side is $\frac{{360}^{\circ }}{n}$.

For octogon n = 8, so the angle subtended at the centre by each side will be $\frac{{360}^{\circ }}{8}$ i.e ${45}^{\circ }$.