Question

The approximate speed of some vehicles are given below. Draw a pie-graph to represent them.

$\begin{array}{cccccc}Nameofobjects& Bicycle& Scooter& Car& Bus& Train\\ Speed\left[inkm/hr\right]& \text{10}& \text{40}& \text{60}& \text{50}& \text{80}\end{array}$ [4 MARKS]

Answer 1

Calculation: 2 Marks
Graph: 2 Marks

Since the angle about the centre of circle is ${360}^{\circ }$, divide ${360}^{\circ }$ in proportion of given data.
Divide ${360}^{\circ }$ in proportion 10 : 40 : 60 : 80 to obtain the corresponding central angle.

Make a table as given below.

$\begin{array}{ccc}\text{Name of object}& \text{Speed in km/hr}& \text{Central angle}\\ Bicycle& 10& \frac{10}{240}\times {360}^{\circ }={15}^{\circ }\\ Scooter& 40& \frac{40}{240}\times {360}^{\circ }={60}^{\circ }\\ Car& 60& \frac{60}{240}\times {360}^{\circ }={90}^{\circ }\\ Bus& 50& \frac{50}{240}\times {360}^{\circ }={75}^{\circ }\\ Train& 80& \frac{80}{240}\times {360}^{\circ }={120}^{\circ }\\ & 240& {360}^{\circ }\end{array}$

Draw a circle of any suitable radius.

For each central-angle, draw a sector.