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If a circle graph, drawn to scale, shows the total annual budget for

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Bunuel
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If a circle graph, drawn to scale, shows the total annual budget for [#permalink] New post   22 May 2020, 05:08
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If a circle graph, drawn to scale, shows the total annual budget for a company that has five departments, what is the measure of the central angle of the sector representing the department that has an annual budget equal to 5/18 of the company’s total annual budget?

A. 20°
B. 50°
C. 72°
D. 100°
E. 110°


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D
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Re: If a circle graph, drawn to scale, shows the total annual budget for [#permalink] New post   22 May 2020, 05:56
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Bunuel wrote:
If a circle graph, drawn to scale, shows the total annual budget for a company that has five departments, what is the measure of the central angle of the sector representing the department that has an annual budget equal to 5/18 of the company’s total annual budget?

A. 20°
B. 50°
C. 72°
D. 100°
E. 110°


PS21170


circle angle = 360°

\(\frac{360}{18} = 20\)

\(20*5 = 100 \)

Answer D
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Re: If a circle graph, drawn to scale, shows the total annual budget for [#permalink] New post   25 Nov 2020, 11:40
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Bunuel wrote:
If a circle graph, drawn to scale, shows the total annual budget for a company that has five departments, what is the measure of the central angle of the sector representing the department that has an annual budget equal to 5/18 of the company’s total annual budget?

A. 20°
B. 50°
C. 72°
D. 100°
E. 110°
PS21170


A circle consists of 360°

So, for example, if the department's budget were 1/4 of the company’s total annual budget, then the central angle of the sector representing the department would be 90° (since 1/4 of 360° = 90°)

Likewise, if the department's budget is 5/18 of the company’s total annual budget, then the central angle of the sector representing the department = 5/18 of 360° = 100°

Answer: D

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Brent
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Re: If a circle graph, drawn to scale, shows the total annual budget for [#permalink] New post   28 Nov 2020, 02:12
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Solution



Given
In this question, we are given that
    • A circle graph, drawn to scale, shows the total annual budget for a company that has five departments

To find
We need to determine
    • The measure of the central angle of the sector representing the department that has an annual budget equal to 5/18 of the company’s total annual budget

Approach and Working out
For a circle graph, drawn to scale, the total measure of the central angle is 360°
If the concerned department has 5/18 of the total budget, then
    • The corresponding angle = 5/18 x 360° = 100°

Thus, option D is the correct answer.

Correct Answer: Option D
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Re: If a circle graph, drawn to scale, shows the total annual budget for [#permalink] New post   30 Nov 2020, 10:14
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Bunuel wrote:
If a circle graph, drawn to scale, shows the total annual budget for a company that has five departments, what is the measure of the central angle of the sector representing the department that has an annual budget equal to 5/18 of the company’s total annual budget?

A. 20°
B. 50°
C. 72°
D. 100°
E. 110°


PS21170

Solution:

Recall that a circle has 360 degrees. We can create the proportion, where x is the number of degrees of the central angle of the sector representing the department that has an annual budget equal to 5/18 of the company’s total annual budget:

5/18 = x/360

18x = 5 * 360

18x = 1800

x = 100

Answer: D
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Re: If a circle graph, drawn to scale, shows the total annual budget for [#permalink] New post   30 Nov 2020, 10:18
Asked: If a circle graph, drawn to scale, shows the total annual budget for a company that has five departments, what is the measure of the central angle of the sector representing the department that has an annual budget equal to 5/18 of the company’s total annual budget?

Total annual budget= 360°
5/18 of total annual budget = 5/18 * 360° = 100°

IMO D
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Re: If a circle graph, drawn to scale, shows the total annual budget for [#permalink] New post   30 Nov 2020, 10:56
Bunuel wrote:
If a circle graph, drawn to scale, shows the total annual budget for a company that has five departments, what is the measure of the central angle of the sector representing the department that has an annual budget equal to 5/18 of the company’s total annual budget?

A. 20°
B. 50°
C. 72°
D. 100°
E. 110°


PS21170

\(\frac{5}{18}*360°=100°\), Answer must be (D)
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Re: If a circle graph, drawn to scale, shows the total annual budget for [#permalink]
30 Nov 2020, 10:56
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