Question:
A group of \(360\) people were asked to vote for their favourite season from the three seasons rainy, winter and summer. - Which season got the most votes?
- Find the central angle of each sector.
- Draw a pie chart to show this information.
Season Number of votes Summer 90 Rainy 120 Winter 150
A group of \(360\) people were asked to vote for their favourite season from the three seasons rainy, winter and summer.
- Which season got the most votes?
- Find the central angle of each sector.
- Draw a pie chart to show this information.
| Season | Number of votes |
| Summer | 90 |
| Rainy | 120 |
| Winter | 150 |
Updated On: Jul 4, 2024
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Solution and Explanation
(i) Winter season got the most votes.
(ii) Central angle of summer season = \(\frac{90° × 360° }{360°}\) = \(90°\)
Central angle of rainy season = \(\frac{120° × 360° }{ 360°}\) = \(120°\)
Central angle of winter season = \(\frac{150° × 360° }{ 360°}\) = \(150°\)
| season | Number of votes | In fraction | Central angle |
| Summer | \(90\) | \(\frac{90}{360}\) | \(\frac{90}{360}\times360° = 90°\) |
| Rainy | \(120\) | \(\frac{120}{360}\) | \(\frac{120}{360}\times360°=120°\) |
| Winter | \(150\) | \(\frac{150}{360}\) | \(\frac{150}{360}\times360°=150°\) |
(iii) 
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