A pie diagram shows the percentages of vehicles passing a signal between 8 am and 10 am: Cars 30%, Tempos 12%, Buses 8%, Autos 10%, Two wheelers 40%. Find the central angles and, if two-wheelers are 1200, the total number of vehicles.

Answer: (1) Cars 108°, Tempos 43.2°, Buses 28.8°, Auto rickshaws 36°, Two wheelers 144° (2) 3000 vehicles

(1) Central angle \( = \frac{\text{percentage}}{100} \times 360^\circ \)

• Cars: \( 0.30 \times 360 = 108^\circ \)
• Tempos: \( 0.12 \times 360 = 43.2^\circ \approx 43^\circ \)
• Buses: \( 0.08 \times 360 = 28.8^\circ \approx 29^\circ \)
• Auto rickshaws: \( 0.10 \times 360 = 36^\circ \)
• Two wheelers: \( 0.40 \times 360 = 144^\circ \)

(2) 40% of total = 1200, so

\[ \text{Total} = \frac{1200 \times 100}{40} = 3000 \]