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30 people choose their favourite sport - OCR - GCSE Maths - Question 14 - 2018 - Paper 1

Question 14

30 people choose their favourite sport. Matt wants to show their choices in a pie chart. 4 of the people chose 'tennis'. Work out the angle of the sector for 'tenni... show full transcript

Worked Solution & Example Answer:30 people choose their favourite sport - OCR - GCSE Maths - Question 14 - 2018 - Paper 1

Step 1

Work out the proportion of people who chose 'tennis'

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Answer

To find the proportion of people who chose 'tennis', divide the number of people who chose 'tennis' by the total number of people surveyed:

$ext{Proportion} = \frac{4}{30}$

Step 2

Calculate the total angle in a pie chart

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Answer

The total angle for a pie chart is 360 degrees. To find the angle for the sector representing 'tennis', multiply the proportion of 'tennis' choices by the total angle:

$\text{Angle} = \frac{4}{30} \times 360$

Step 3

Final angle calculation

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Answer

Now, perform the following calculations:

Calculate the fraction: $\frac{4 \times 360}{30} = \frac{1440}{30} = 48$

Thus, the angle of the sector for 'tennis' is 48 degrees.

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