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Measure of Central Angle

Calculate the...

Question

Calculate the central angle for monthly expenditure of a family on different items.

A

72°

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B

90°

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C

144°

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D

54°

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Solution

Central angle = $\frac{% of income}{Total income} \times 360 °$

1) Food = $\frac{40}{100} \times 360 = 144 °$

2) Clothing = $\frac{25}{100} \times 360 = 90 °$

3) Rent = $\frac{15}{100} \times 360 = 54 °$

4) Education = $\frac{20}{100} \times 360 = 72 °$

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