Question

A circle of radius 120 m is divided into 8 equal sectors. Find the length of the arc of each of the sectors.

• A. $20\pi m$
• B. $30\pi m$
• C. $40\pi m$
• D. $50\pi m$

Answer 1

The correct option is B $30\pi m$

Given,
Radius of the circle = 120 m
Number of equal sectors = 8

The central angle of each sector
= ${360}^o$/n
= ${360}^o/8$
= ${45}^o$

Length of the arc
= $𝛉/{360}^o$ $\times$ 2𝜋r
= $\left({45}^o/{360}^o\right)\times 2\pi \times 120$
= 30𝜋 m

Hence, length of the arc is 30𝜋 m.