Question

A group of \(360\) people were asked to vote for their favourite season from the three seasons rainy, winter and summer. 

1. Which season got the most votes? 
2. Find the central angle of each sector. 
3. Draw a pie chart to show this information.

Season	Number of votes
Summer	90
Rainy	120
Winter	150

 

Answer 1

(i) Winter season got the most votes.

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(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	\(150\)	\(\frac{150}{360}\)	\(\frac{150}{360}\times360°=150°\)

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(iii)