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 = `(30%)/(100% )xx 360° = 108°`

Central angle for tempos = `(12%)/(100% )xx 360° = 43.2°`

Central angle for buses = `(8%)/(100% )xx 360° = 28.8°`

Central angle for auto rikshaw = `(10%)/(100% )xx 360° = 36°`

Central angle for two whellers = `(40%)/(100% )xx 360° = 144°`

(2)
Number of two wheelers = 1200

`⇒ (40%)/(100%) xx ` Total number of vehicles  = 1200

⇒ total number of vehicles = `(100%)/(40%) xx 1200`

= 3000