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

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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

Calculate the proportion of people who chose 'tennis'

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Answer

To find the proportion of people who chose 'tennis', we use the formula:

extProportion=extNumberofpeoplewhochosetennisextTotalnumberofpeople=430 ext{Proportion} = \frac{ ext{Number of people who chose tennis}}{ ext{Total number of people}} = \frac{4}{30}

Step 2

Calculate the angle for 'tennis'

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Answer

The total angle in a circle is 360 degrees. To calculate the angle corresponding to 'tennis', we multiply the proportion by 360:

extAnglefor′tennis′=430×360=48 degrees ext{Angle for 'tennis'} = \frac{4}{30} \times 360 = 48\text{ degrees}

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