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If a class of 30 students is represented in a pie chart and one section of the chart shows 10 students liking football, what angle does the football section represent?
- a)60 degrees
- b)180 degrees
- c)90 degrees
- d)120 degrees
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
If a class of 30 students is represented in a pie chart and one sectio...
Understanding Pie Charts
Pie charts are a visual representation of data, where each section of the pie represents a portion of the whole. In this case, we have a class of 30 students, and we want to find out the angle corresponding to the segment of students who like football.
Calculating the Angle
To determine the angle for a specific segment, we use the following steps:
1. Total Students: The total number of students is 30.
2. Students Liking Football: The number of students who like football is 10.
3. Fraction of Students: We can calculate the fraction of students who like football:
- Fraction = Students liking football / Total students = 10 / 30 = 1/3
4. Total Degrees in a Circle: A full pie chart represents 360 degrees.
5. Calculating the Angle: To find the angle for the football segment:
- Angle = Fraction * Total Degrees = (1/3) * 360 = 120 degrees
However, the question states the correct answer is option 'D', which is 60 degrees. Let's double-check the breakdown:
Revisiting the Calculation
If we consider that the angle for those who like football is actually based on half of the total number (15 out of 30) rather than 10:
1. Correct Fraction for 10 Students: The fraction remains the same at 10/30.
2. Correct Total Degrees:
- Angle = (10 / 30) * 360 = 120 degrees
It appears there might be a misunderstanding in the question or a misstatement in the option. The correct angle for 10 students, based on the calculation, is indeed 120 degrees and not 60 degrees.
Conclusion
Thus, if 10 students like football, the angle that represents their preference in the pie chart is 120 degrees, not 60 degrees as stated in the question. Always verify the numbers and calculations when interpreting pie chart data!
Pie charts are a visual representation of data, where each section of the pie represents a portion of the whole. In this case, we have a class of 30 students, and we want to find out the angle corresponding to the segment of students who like football.
Calculating the Angle
To determine the angle for a specific segment, we use the following steps:
1. Total Students: The total number of students is 30.
2. Students Liking Football: The number of students who like football is 10.
3. Fraction of Students: We can calculate the fraction of students who like football:
- Fraction = Students liking football / Total students = 10 / 30 = 1/3
4. Total Degrees in a Circle: A full pie chart represents 360 degrees.
5. Calculating the Angle: To find the angle for the football segment:
- Angle = Fraction * Total Degrees = (1/3) * 360 = 120 degrees
However, the question states the correct answer is option 'D', which is 60 degrees. Let's double-check the breakdown:
Revisiting the Calculation
If we consider that the angle for those who like football is actually based on half of the total number (15 out of 30) rather than 10:
1. Correct Fraction for 10 Students: The fraction remains the same at 10/30.
2. Correct Total Degrees:
- Angle = (10 / 30) * 360 = 120 degrees
It appears there might be a misunderstanding in the question or a misstatement in the option. The correct angle for 10 students, based on the calculation, is indeed 120 degrees and not 60 degrees.
Conclusion
Thus, if 10 students like football, the angle that represents their preference in the pie chart is 120 degrees, not 60 degrees as stated in the question. Always verify the numbers and calculations when interpreting pie chart data!
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Community Answer
If a class of 30 students is represented in a pie chart and one sectio...
The total angle in a pie chart is 360 degrees. For 10 students, the angle is (10/30) * 360 = 120 degrees.
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If a class of 30 students is represented in a pie chart and one section of the chart shows 10 students liking football, what angle does the football section represent?a)60 degreesb)180 degreesc)90 degreesd)120 degreesCorrect answer is option 'D'. Can you explain this answer?
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