Question

The pie chart depicting the percentage of students opted for four different streams, $A,B,C,D$ is as follows:


What will be the central angle subtended by the stream $B$ students ?

• A. ${82.8}^{\circ }$
• B. ${212.4}^{\circ }$
• C. ${36}^{\circ }$
• D. ${147.6}^{\circ }$

Answer 1

The correct option is A ${82.8}^{\circ }$

The total angle subtended at the centre of the circle in a pie chart is ${360}^{\circ }$.

Observe the pie chart, the percentage of students corresponding to stream $B$ is $23\%$.

Thus, the central angle subtented by stream $B$ students is calculated as,

$\begin{array}{cc}\text{Central angle made by stream}B& =23\%\text{of}{360}^{\circ }\\ & =\frac{23}{100}\times {360}^{\circ }\\ & =0.23\times {360}^{\circ }\\ & ={82.8}^{\circ }\end{array}$

Hence, ${82.8}^{\circ }$ is the angle subtended by stream $B$.

So, option (a) is correct.