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The monthly expenditure of a family on different items is shown in the following table. Complete the following activity to calculate the related central angles.Activity :Different itemsPercentage of expenditureMeasure of central angleFood40\(\dfrac{4…

Q.2 (A)(iii) The monthly expenditure of a family on different items is shown in the following table. Complete the following activity to calculate the related central angles.

Activity :

Different itemsPercentage of expenditureMeasure of central angle
Food40\(\dfrac{40}{100} \times 360^\circ =\) ____ \(^\circ\)
Clothing20\(\dfrac{20}{100} \times 360^\circ =\) ____ \(^\circ\)
Education30\(\dfrac{30}{100} \times 360^\circ =\) ____ \(^\circ\)
Other expenditure10\(\dfrac{10}{100} \times 360^\circ =\) ____ \(^\circ\)
Total100360°

1 answer

Best answer

Answer: Food 144°, Clothing 72°, Education 108°, Other 36°.

Central angle \(= \dfrac{\text{percentage}}{100} \times 360^\circ\).

  • Food: \(\dfrac{40}{100} \times 360^\circ = 144^\circ\)
  • Clothing: \(\dfrac{20}{100} \times 360^\circ = 72^\circ\)
  • Education: \(\dfrac{30}{100} \times 360^\circ = 108^\circ\)
  • Other expenditure: \(\dfrac{10}{100} \times 360^\circ = 36^\circ\)

Total: 144° + 72° + 108° + 36° = 360° ✓

Doubtly AI · 25 Oct 2026 AI-verified · Oct 2026 Report
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