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Length Of Unemployment for Workers in Region X for Two Industries, 2003




Q. In the circle graphs, the degree measure of the central angle of the sector representing the number of workers unemployed for 11 to 14 weeks is how much greater in the manufacturing industry graph than in the service industry graph?

  • a)

  • b)
    20°

  • c)
    10°

  • d)
    18°

  • e)
    15°

Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Length Of Unemployment for Workers in Region X for Two Industries, 200...
Recall that in a circle graph, the degree measure of the central angle of a sector representing n percent of the data is equal to n percent of 360°.
The degree measure of the sector representing the number of workers unemployed for 11 to 14 weeks is 10% of 360°, or 36°, for the manufacturing industry graph and is 5% of 360°, or 18°, for the service industry graph. Since 36° − 18° = 18°, the measure of the central angle of that sector in the manufacturing industry graph is 18° greater than the measure of the central angle of the corresponding sector in the service industry graph. The correct answer is Choice b.
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Most Upvoted Answer
Length Of Unemployment for Workers in Region X for Two Industries, 200...
Recall that in a circle graph, the degree measure of the central angle of a sector representing n percent of the data is equal to n percent of 360°.
The degree measure of the sector representing the number of workers unemployed for 11 to 14 weeks is 10% of 360°, or 36°, for the manufacturing industry graph and is 5% of 360°, or 18°, for the service industry graph. Since 36° − 18° = 18°, the measure of the central angle of that sector in the manufacturing industry graph is 18° greater than the measure of the central angle of the corresponding sector in the service industry graph. The correct answer is Choice b.
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Community Answer
Length Of Unemployment for Workers in Region X for Two Industries, 200...
Recall that in a circle graph, the degree measure of the central angle of a sector representing n percent of the data is equal to n percent of 360°.
The degree measure of the sector representing the number of workers unemployed for 11 to 14 weeks is 10% of 360°, or 36°, for the manufacturing industry graph and is 5% of 360°, or 18°, for the service industry graph. Since 36° − 18° = 18°, the measure of the central angle of that sector in the manufacturing industry graph is 18° greater than the measure of the central angle of the corresponding sector in the service industry graph. The correct answer is Choice b.
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