Question

A eighth part of a full circle i.e. a octant subtends an angle of ........... at the centre.

• A. ${60}^o$
• B. ${45}^o$
• C. ${90}^o$
• D. None of these

Answer 1

The correct option is B ${45}^o$

When a circle is evenly divided into eight sections by four perpendicular lines,

each of the eight areas is an octant. In fact,

anything that's split into eight equal parts can be described as being made up of octants,

Total angle subtended at the circle's centre is ${360}^{\circ }.$

Angle subtended by octant =$\frac{{360}^{\circ }}{8}={45}^{\circ }$

option B is the answer.