Question

Observe the adjacent pie diagram. It shows the percentages of number of vehicles passing a signal in a town between 8 am and 10 am
(1) Find the central angle for each type of vehicle.
(2) If the number of two-wheelers is 1200, find the number of all vehicles.

Answer 1

(1)
Central angle for cars = $\frac{30\%}{100\%}\times 360°=108°$

Central angle for tempos = $\frac{12\%}{100\%}\times 360°=43.2°$

Central angle for buses = $\frac{8\%}{100\%}\times 360°=28.8°$

Central angle for auto rikshaw = $\frac{10\%}{100\%}\times 360°=36°$

Central angle for two whellers = $\frac{40\%}{100\%}\times 360°=144°$
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(2)
Number of two wheelers = 1200
$$\begin{gathered} \Rightarrow \frac{40\%}{100\%}\times \mathrm{Total}\mathrm{number}\mathrm{of}\mathrm{vehicles}=1200 \\ \Rightarrow \mathrm{Total}\mathrm{number}\mathrm{of}\mathrm{vehicles}=\frac{100\%}{40\%}\times 1200 \\ =3000 \end{gathered}$$