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In a pie chart showing the preferences of students for different sports, if 15%

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Question: In a pie chart showing the preferences of students for different sports, if 15% prefer basketball, what is the angle representing this preference?

Options:

  1. 54 degrees
  2. 36 degrees
  3. 27 degrees
  4. 45 degrees

Correct Answer: 54 degrees

Solution: 

The angle for basketball is (15/100) * 360 = 54 degrees.

In a pie chart showing the preferences of students for different sports, if 15%

Practice Questions

Q1
In a pie chart showing the preferences of students for different sports, if 15% prefer basketball, what is the angle representing this preference?
  1. 54 degrees
  2. 36 degrees
  3. 27 degrees
  4. 45 degrees

Questions & Step-by-Step Solutions

In a pie chart showing the preferences of students for different sports, if 15% prefer basketball, what is the angle representing this preference?
  • Step 1: Understand that a pie chart represents a whole circle, which is 360 degrees.
  • Step 2: Know that the percentage of students who prefer basketball is 15%.
  • Step 3: Convert the percentage to a fraction by dividing by 100: 15% = 15/100.
  • Step 4: Multiply the fraction by the total degrees in a circle: (15/100) * 360.
  • Step 5: Calculate the result: (15/100) * 360 = 54 degrees.
  • Step 6: Conclude that the angle representing the preference for basketball is 54 degrees.
  • Percentage to Angle Conversion – Understanding how to convert a percentage into an angle for a pie chart by using the formula (percentage/100) * 360.
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