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A pie chart shows the distribution of a city's population by age group. If the a

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Question: A pie chart shows the distribution of a city\'s population by age group. If the age group 0-14 years comprises 20%, what is the angle for this segment?

Options:

  1. 72 degrees
  2. 60 degrees
  3. 90 degrees
  4. 45 degrees

Correct Answer: 72 degrees

Solution: 

The angle for the 0-14 years age group is (20/100) * 360 = 72 degrees.

A pie chart shows the distribution of a city's population by age group. If the a

Practice Questions

Q1
A pie chart shows the distribution of a city's population by age group. If the age group 0-14 years comprises 20%, what is the angle for this segment?
  1. 72 degrees
  2. 60 degrees
  3. 90 degrees
  4. 45 degrees

Questions & Step-by-Step Solutions

A pie chart shows the distribution of a city's population by age group. If the age group 0-14 years comprises 20%, what is the angle for this segment?
  • Step 1: Understand that a pie chart represents a whole circle, which is 360 degrees.
  • Step 2: Know that the percentage of the population in the age group 0-14 years is 20%.
  • Step 3: Convert the percentage to a fraction by dividing it by 100. So, 20% becomes 20/100.
  • Step 4: Multiply the fraction (20/100) by the total degrees in a circle (360 degrees).
  • Step 5: Calculate (20/100) * 360, which equals 72 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 (percentage/100) * 360.
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