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# the degree measure of the central angle of the sector

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GRE Prep Club Legend
Joined: 07 Jun 2014
Posts: 4857
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 111

Kudos [?]: 1854 [1] , given: 397

the degree measure of the central angle of the sector [#permalink]  23 Jan 2016, 06:27
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Question Stats:

90% (01:01) correct 9% (02:21) wrong based on 11 sessions
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#GREpracticequestion the degree measure of the central angle.jpg [ 74.75 KiB | Viewed 649 times ]

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 5 $$^o$$
B 10$$^o$$
C 15$$^o$$
D 18$$^o$$
E 20$$^o$$

Practice Questions
Question: 17
Page: 461
Difficulty: easy/medium
[Reveal] Spoiler: OA

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Sandy
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GRE Prep Club Legend
Joined: 07 Jun 2014
Posts: 4857
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 111

Kudos [?]: 1854 [0], given: 397

Re: the degree measure of the central angle of the sector [#permalink]  23 Jan 2016, 06:30
Expert's post
Solution

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$$^o$$, or 18$$^o$$, for the service industry graph.

Since 36$$^o$$−18$$^o$$=18$$^o$$, 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 D.
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Sandy
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