The annual budget of a certain college is to be shown on a circle grap

Question

The annual budget of a certain college is to be shown on a circle graph. If the size of each sector of the graph is to be proportional to the amount of the budget it represents , how many degrees of the circle should be used to represent an item that is 15 percent of the budget?

(A) 15°
(B) 36°
(C) 54°
(D) 90°
(E) 150°

Show Answer

Official Answer

C

(A) 15°
(B) 36°
(C) 54°
(D) 90°
(E) 150°

Bunuel · Answer

SOLUTION

The annual budget of a certain college is to be shown on a circle graph. If the size of each sector of the graph is to be proportional to the amount of the budget it represents , how many degrees of the circle should be used to represent an item that is 15 percent of the budget?

(A) 15°
(B) 36°
(C) 54°
(D) 90°
(E) 150°

Show Answer

Official Answer

C

(A) 15°
(B) 36°
(C) 54°
(D) 90°
(E) 150°

The whole circumference is 360°.

15 percent of 360° is 15/100*360 = 54°.

Answer: C.

kinjiGC · Answer

15 is out 100 and the sum of all the angles is 360
So required answer is 15*360/100 = 54 - Option C)

dheeraj24 · Answer

100 % ------- > 360 degrees
15% ----------->???? degrees

(15*360)/100 = 54 degrees.

blendercroix · Answer

How I do it:

How many degree to represent an item that is 15%

15/100 = x/360
360 x 15/100 = x
x = 54

diegocml · Answer

(A) is a very nice trap answer if one if running out of time and doesn't think it through!

Anyways, I think the best approach is that of  blendercroix  - short a sweet proportion.

CyberStein · Answer

1. 360 degrees in circle
2. half of 360 is 180; half of 100 is 50; therefore, 180degrees is used to represent 50% of the budget 
3. half of 180 is 90; half of 50 is 25
4. half of 90 is 45; half of 25 is 12.5(2.5% lower than 15%)
5. you know it is within the range of 45-60, so eliminate the answer choices that are either too low or high

therefore; the answer is 54%(C)

shashankism · Answer

Since the circular graph has to show 15% on the graph paper. So it has to have a same proportion on the graph
Hence 15/100 = x/360 
x = 54

Answer C

ArnauG · Answer

To find the number of degrees that corresponds to 15 percent of the circle, we can set up the following proportion:

15 percent / 100 percent = x degrees / 360 degrees

Simplifying the proportion, we have:

0.15 = x / 360

To solve for x, we can multiply both sides of the equation by 360:

0.15 * 360 = x
54 = x

Therefore, 15 percent of the circle corresponds to 54 degrees, which corresponds to option (C).

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The annual budget of a certain college is to be shown on a circle grap

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