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Difficulty: EasyData Representation and Charts

A pie chart is used to display the distribution of 720720 candidates registered for a competitive examination across five subjects. If the sector representing Further Mathematics has a central angle of 45∘45^\circ, what is the total number of candidates who registered for Further Mathematics?

Answer: 90 candidates

Answer

The total number of candidates who registered for Further Mathematics is 90.
To calculate the number of candidates represented by a pie chart sector, multiply the total count by the ratio of the sector's central angle to 360 degrees: (45 / 360) * 720 = 90 candidates.

Step-by-Step Solution

1
Determine the fraction of the total population represented by the Further Mathematics sector.
45∘360∘=18\frac{45^\circ}{360^\circ} = \frac{1}{8}
A complete pie chart circle corresponds to an angle of 360 degrees.
2
Calculate the actual number of candidates by multiplying the fraction by the total student population.
18×720=90\frac{1}{8} \times 720 = 90
The number of items in a sector is directly proportional to its central sector angle relative to 360 degrees.

Key Concept

Calculating category frequencies from pie chart sector angles
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Topics

Data Representation and Charts

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