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Difficulty: EasyBasic Tools of Economic Analysis

A cooperative farm produced a total grain harvest of 1,200 bags1,200\text{ bags} in a farming season, consisting of 450 bags450\text{ bags} of maize, 350 bags350\text{ bags} of sorghum, and 400 bags400\text{ bags} of rice. What is the sectorial angle representing sorghum when this data is represented on a pie chart?

Answer: 105 degrees

Answer

The sectorial angle representing sorghum on the pie chart is 105∘105^\circ.
To find the angle representing sorghum on a pie chart, calculate its ratio relative to the total harvest and multiply by 360∘360^\circ: 3501200×360∘=105∘\frac{350}{1200} \times 360^\circ = 105^\circ.

Step-by-Step Solution

1
Determine the total harvest quantity and sorghum quantity from the given data.
Total harvest = 1,200 bags1,200\text{ bags}; Sorghum harvest = 350 bags350\text{ bags}.
Calculating a sectorial angle requires knowing the specific component frequency and the total frequency.
2
Calculate the proportion of sorghum relative to the total grain harvest.
Proportion = 3501200=724\frac{350}{1200} = \frac{7}{24}.
A pie chart represents parts of a whole proportionally.
3
Convert the proportion into degrees by multiplying by 360∘360^\circ.
Angle = 724×360∘=105∘\frac{7}{24} \times 360^\circ = 105^\circ.
A full pie chart circle contains 360∘360^\circ.

Key Concept

Calculating sectorial angles for pie chart construction
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Topics

Basic Tools of Economic Analysis

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