Question

The following data give the students using different modes of transport.

Mode of transport	Bicycle	Bus	Walk	Train	Car
Number of students	140	100	70	40	10

Represent the above data using a pie diagram.

Answer 1

Hint: First of all, find the total number of students. Then, Find the central angle of each component using the formula, $\dfrac{{{\text{given value}}}}{{{\text{total value}}}} \times {360^ \circ }$. Then, draw a circle of any radius and a radius. From radius, mark the central angle of a component and draw the corresponding radius. Similarly, repeat the process for all the components.

Complete step-by-step answer:
Find the central angle of each component using the formula, $\dfrac{{{\text{given value}}}}{{{\text{total value}}}} \times {360^ \circ }$
We will find the total value by adding all the students.
$140 + 100 + 70 + 40 + 10 = 360$
The central angle for bicycle is, $\dfrac{{{\text{140}}}}{{360}} \times {360^ \circ } = {140^ \circ }$
The central angle for bus is, $\dfrac{{{\text{100}}}}{{360}} \times {360^ \circ } = {100^ \circ }$
The central angle for walk is, $\dfrac{{{\text{70}}}}{{360}} \times {360^ \circ } = {70^ \circ }$
The central angle for train is, $\dfrac{{{\text{40}}}}{{360}} \times {360^ \circ } = {40^ \circ }$
The central angle for car is, $\dfrac{{{\text{10}}}}{{360}} \times {360^ \circ } = {10^ \circ }$
Then, draw a circle of any radius and a radius.
From radius, mark the central angle of a component and draw the corresponding radius. Similarly, repeat the process for all the components.

Note: Pie-diagrams help to present the data on a circular graph. The total angle formed at the centre of the circle is 360 degree. The central angle of each component is calculated using the formula, $\dfrac{{{\text{given value}}}}{{{\text{total value}}}} \times {360^ \circ }$. The complete circle represents all the given components.