Question

The following data give the number of students using different modes of transport:

Modes of Transport	Number of Students
Bicycle	$140$
Bus	$100$
Walk	$70$
Train	$40$
Car	$10$

From this table, find the central angle $\left(\theta \right)$ for the Mode of Transport 'Bus'

Answer 1

Total Number of Students $=140+100+70+40+10$
$=360$
Let central angle $=\theta$
$\frac{\theta }{{360}^{\circ }}\times \text{Total Number of students}=\text{No. of students (Transport by bus)}$
$\frac{\theta }{{360}^{\circ }}\times 360={100}^{\circ }$
$\therefore \theta ={100}^{\circ }$