Question

Observe the given pie diagram. It shows the percentages of number of vehicles passing a signal in a town between 8 am and 10 am.

i. Find the central angle for each type of vehicle. 

ii. If the number of two-wheelers is 1200, find the number of all vehicles.

Answer 1

Measure of central angle (θ) \(=\frac{\text{Number of scores in the components}}{\text{Total number of scores}} \times 360^\circ\)

i.

ii. Central angle for two wheelers (θ) = 144°

Measure of central angle = \(\frac{\text{Number of two wheelers}}{\text{Total number of vehicles}} \times 360^\circ\)

\(\therefore\) 144° \(=\frac{1200}{\text{Total number of vehicles}} \times 360^\circ\)

\(\therefore\) Total number of vehicles \(=\frac{1200 \times 360}{144} = 3000\)

∴ The total number of vehicles is 3000.