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JAMB Mathematics 2020 Paper

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Question : 34

Total: 40

The acres for rice, pineapple, cassava, cocoa and palm oil in a certain district are given respectively as 2, 5, 3, 11 and 9. What is the angle of the sector of cassava in a pie chart?

180 $^{\circ}$
36 $^{\circ}$
60 $^{\circ}$
108 $^{\circ}$

Solution:

Concept:

In a pie chart, the angle of each sector is proportional to its fraction of the total value.

Explanation:

Total acres for all crops:

2 + 5 + 3 + 11 + 9 = 30

.

Cassava acres

= 3

.

Fraction for cassava

= \frac{3}{30}

.

Angle of cassava sector

= \frac{3}{30} \times 360^{\circ} = 36^{\circ}

.

Therefore, the angle of the cassava sector is

36^{\circ}

.

Answer:

36^{\circ}

(Option B).

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