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Difficulty: MediumStatistical Maps and Graphical Representation

A geography student constructs a pie chart to illustrate the annual export earnings of agricultural commodities from a region. The total value of all exports is $480 million\text{\$}480\text{ million}, with oil palm products accounting for $108 million\text{\$}108\text{ million}. What is the central angle, in degrees, of the sector representing oil palm products?

Answer: 81 degrees

Answer

The central angle of the sector representing oil palm products is 81∘81^\circ.
The correct answer is obtained by finding the component share of the total value (108 / 480 = 0.225) and multiplying by 360 degrees, yielding an angle of 81 degrees.

Step-by-Step Solution

1
Calculate the fractional proportion of the specific component relative to the total data value
108480=0.225\frac{108}{480} = 0.225
A sector in a pie chart represents a fractional part of the total statistical value.
2
Convert the calculated proportion into degrees of a circle
0.225×360∘=81∘0.225 \times 360^\circ = 81^\circ
A full pie chart circle contains 360∘360^\circ, so multiplying the component proportion by 360∘360^\circ gives its angular representation.

Key Concept

Calculating Sector Angles in Pie Charts
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Topics

Statistical Maps and Graphical Representation

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