Question

Various modes of transport used by 1260 students in a given school are given below :

$\begin{array}{ccccc}\text{School bus}& \text{Private bus}& \text{Bicycle}& \text{Rickshaw}& \text{On foot}\\ 350& 245& 210& 175& 280\end{array}$

Represent the above data by a pie char.

Answer 1

\text{Total number of students = 350 + 245 + 210 + 175 + 280 = 1260}

$\begin{array}{ccc}\text{Transport}& \text{No. of students}& \text{Central angle}\\ \text{School bus}& 350& \frac{350}{1260}\times {360}^{\circ }={100}^{\circ }\\ \text{Private bus}& 245& \frac{245}{1260}\times {360}^{\circ }={70}^{\circ }\\ \text{Bicycle}& 210& \frac{210}{1260}\times {360}^{\circ }={60}^{\circ }\\ \text{Rickshaw}& 175& \frac{175}{1260}\times {360}^{\circ }={50}^{\circ }\\ \text{On foot}& 280& \frac{280}{1260}\times {360}^{\circ }={80}^{\circ }\\ \text{Total}& 1260& {360}^{\circ }\end{array}$

$\text{(i) Draw a circle with a suitable radius.}\text{(ii) Draw a horizontal radius.}\text{(iii) Starting from this radius draw sectors whose central angles are}{100}^{\circ },{70}^{\circ },{60}^{\circ },{50}^{\circ }and{80}^{\circ }\text{respectively.}\text{(iv) Now shade each sector with different colours or designs as shown in the figure.}$