Question

Favourite fruit as voted by the class is represented in the pie chart given below. The number of students who like oranges is 30.
How many students like pineapples?

• A. 50
• B. 45
• C. 60
• D. 25

Answer 1

The correct option is B 45

In the given pie chart, the central angle of the sector corresponding to oranges is ${90}^{\circ }$, and it is given that 30 students like oranges.

Hence, ${90}^{\circ }$ represents 30 students. We know that the full circle (${360}^{\circ }$) represents the entire class.
$⟹\text{Total number of students}=\frac{{360}^{\circ }}{{90}^{\circ }}\times 30=120.$

Note that the central angle of the sector corresponding to pineapples is ${135}^{\circ }.$
$\therefore \text{Number of students who like pineapples}=\frac{{135}^{\circ }}{{360}^{\circ }}\times 120=45.$