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Question
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 items | Percentage of expenditure | Measure of central angle |
| Food | 40 | `40/100 xx 360^circ = square` |
| Clothing | 20 | `20/100 xx 360^circ = square` |
| Eduaction | 30 | `30/100 xx 360^circ = square` |
| Other expenditure | 10 | `10/100 xx 360^circ = square` |
| Total | 100 | 360° |
Activity
Sum
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Solution
Activity:
| Different items | Percentage of expenditure | Measure of central angle |
| Food | 40 | `40/100 xx 360^circ` = \[\boxed{144°}\] |
| Clothing | 20 | `20/100 xx 360^circ` = \[\boxed{72^°}\] |
| Eduaction | 30 | `30/100 xx 360^circ` = \[\boxed{108°}\] |
| Other expenditure | 10 | `10/100 xx 360^circ` = \[\boxed{36°}\] |
| Total | 100 | 360° |
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2024-2025 (July) Official Board Paper
