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If a pie chart indicates that 10% of a population prefers classical music, what

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Question: If a pie chart indicates that 10% of a population prefers classical music, what is the angle in degrees that represents this preference?

Options:

  1. 36 degrees
  2. 18 degrees
  3. 30 degrees
  4. 24 degrees

Correct Answer: 36 degrees

Solution:

To find the angle, multiply the percentage by 360 degrees: 10% of 360 = 0.10 * 360 = 36 degrees.

If a pie chart indicates that 10% of a population prefers classical music, what

Practice Questions

Q1
If a pie chart indicates that 10% of a population prefers classical music, what is the angle in degrees that represents this preference?
  1. 36 degrees
  2. 18 degrees
  3. 30 degrees
  4. 24 degrees

Questions & Step-by-Step Solutions

If a pie chart indicates that 10% of a population prefers classical music, what is the angle in degrees that represents this preference?
  • Step 1: Understand that a pie chart represents a whole circle, which is 360 degrees.
  • Step 2: Know that the percentage given (10%) needs to be converted into a fraction for calculation.
  • Step 3: Convert 10% into a decimal by dividing by 100, which gives you 0.10.
  • Step 4: Multiply the decimal (0.10) by 360 degrees to find the angle that represents the preference.
  • Step 5: Calculate 0.10 * 360, which equals 36 degrees.
  • Percentage to Angle Conversion – Understanding how to convert a percentage of a whole into an angle in a pie chart by using the formula: angle = (percentage/100) * 360.
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