A charity reviews its spending each year and reports this to its donors. Its total annual budget is £120,000. The pie chart below shows how this budget is s...
Question 1 Report
A charity reviews its spending each year and reports this to its donors. Its total annual budget is £120,000. The pie chart below shows how this budget is split between Education, Health and Admin. The angle of each sector shows the proportion of the budget spent in that area. The charity's trustees use this data when planning next year's budget.
- Work out the percentage of the budget spent on Education. (2)
- Find the amount of money spent on Health. (2)
Answer Details
This question tests converting the angle of a pie chart sector into a percentage or a direct share of a total amount, using the fact that a full circle is 360°.
The chart shows Education at 180°, Health at 108° and Admin at 72°, which together make the full \(360^\circ\) circle.
- The percentage on Education is \(\frac{180}{360} \times 100 = \) 50% [2].
- The amount spent on Health is \(\frac{108}{360} \times 120\,000 = \) £36,000 [2].
A pie chart's sector angle is always out of 360°, not out of 100°; convert the angle to a fraction of 360° first, then apply that fraction either as a percentage or directly to the total amount represented by the whole circle.
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