JAMB 2020 Mathematics · Question 1

The acres for rice, pineapple, cassava, cocoa and palm oil in a certain district are given respectively as 2…

Question

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?

A.180 $^o$
B.36 $^o$
C.60 $^o$
D.108 $^o$

Answer: B. 36 $^o$

Explanation written with AI and checked against the answer key

1. Analyze the question

We are given the distribution of land (in acres) for five different crops. We need to find the specific angle that the "cassava" portion would occupy if this data were represented in a pie chart.

2. Explain the concept

A pie chart represents the total data as a circle, which consists of $360^\circ$ . To find the angle of a specific sector, we use the formula:

\text{Angle} = \left( \frac{\text{Value of the sector}}{\text{Total value of all sectors}} \right) \times 360^\circ

3. Show the solution

Step 1: Calculate the total number of acres. Total = $2 (\text{rice}) + 5 (\text{pineapple}) + 3 (\text{cassava}) + 11 (\text{cocoa}) + 9 (\text{palm oil})$ Total = $30 \text{ acres}$

Step 2: Identify the value for cassava. Value of cassava = $3 \text{ acres}$

Step 3: Apply the formula.

\text{Angle of cassava} = \left( \frac{3}{30} \right) \times 360^\circ

Step 4: Simplify the calculation.

\text{Angle} = \left( \frac{1}{10} \right) \times 360^\circ

\text{Angle} = 36^\circ

4. Identify the answer

Comparing our result to the given options, the correct answer is B.

5. Exam Tip

When dealing with pie chart questions, always calculate the total sum first. If the total sum is a factor of 360 (like 30, 40, 60, or 90), the calculation becomes much easier. Also, remember that the sum of all angles in your pie chart must equal $360^\circ$ ; if you have time, you can quickly check your work by adding the angles of all sectors together.

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