Data Interpretation - Pie Charts - Discussion

The following pie-chart shows the percentage distribution of the expenditure incurred in publishing a book. Study the pie-chart and the answer the questions based on it.

Various Expenditures (in percentage) Incurred in Publishing a Book

2. 

What is the central angle of the sector corresponding to the expenditure incurred on Royalty?

[A]. 15°
[B]. 24°
[C]. 54°
[D]. 48°

Answer: Option C

Explanation:

Central angle corresponding to Royalty = (15% of 360)°
= ( 15 x 360 ) °
100
= 54°.


Ankit said: (Mar 22, 2011)  
You can also findout the answer in this way-:

15*18/5=54

Note:- If we want to convert percentage into degree then we will multiply by 18/5 and if we want to convert degree into percentage then we will multiply by 5/18.

Areen Sharma said: (May 13, 2011)  
15% is the royalty as given in the ques.

10% = 36 degree, 1% = 3.6 degree there for 5% = 18 degree

10+5 = 36+18
15% = 54 simple.

Kausik said: (Jun 27, 2011)  
Would anyone please make understand what exactly the question has been asked? 'central angle of the sector' what does it mean? please help me.

Archana said: (Jul 5, 2011)  
Central angle means degree, total angle any circle is 360" degree that we measure using protractor.

Archana said: (Jul 5, 2011)  
Central angle means degree, total angle any circle is 360" degree that we measure using protractor.

Namrata said: (Aug 26, 2012)  
But its given corresponding sector. So we should have taken 15% of either 10% or 20% na?

Priyanshu Chatturvedi said: (Aug 14, 2014)  
You can also find out the answer in this way:

15*3.6 = 54.

NOTE-[1%=3.6].

Poonam said: (Oct 22, 2014)  
15/100 = 0.15.

360*0.15 = 54.

Anant said: (Aug 19, 2015)  
Why central angle correspond to the royalty?

Jitendra Bharti said: (Oct 4, 2016)  
If 15% of 360 than 10% is 36.

Hence 5% is 18 now 15% is 54.

King said: (Dec 7, 2016)  
All the ways are helpful and thank you for the solution.

Mandar said: (Dec 16, 2016)  
Now I understand the answer. Thanks for all your explanation.

Rahul Santra said: (Jan 23, 2017)  
Here, How we get 360-degree?

Bhavana said: (May 9, 2017)  
The total angle in a circle 360 degrees.
Royalty occupies 15% of the total.
Thus the angle made by royalty is (15/100) *360 =54 degrees.

Vaidehi said: (Jul 16, 2017)  
I want to know the trick how to convert degree into a percentage? Please explain.

Anonymous said: (Sep 23, 2017)  
Percentage to degree ( X * 18/5).

Ex- 15%= ?degree
15 * 18/5= 54degree
Degree to percentage ( X * 5/18)
Ex- 54degree =?%
54 * 5/18= 15%.

Sadaf said: (Mar 2, 2018)  
How to make percent into degree?

Ladva Dharmesh said: (Mar 17, 2018)  
If any cost, expenditure can be found in pie chart only multiple 360 can find cost, expenditure.

Sushmitha said: (Apr 26, 2018)  
Why we take 15% of 360 can anyone explain me?

Axel said: (Apr 30, 2018)  
One circle is equal to 360 angles.

Vishakha said: (Jul 13, 2018)  
How 1% =3.6, It's not given 10% is 36.
So, how it could be?

Yeshey Wangchuk said: (Jul 21, 2018)  
1% of 360°,
1÷ 100*360= 3.6°.

So, 10% means 10÷100* 360.
= 3.6°

Sonam Penjor said: (Aug 2, 2018)  
How comes 100 here? Please explain.

Satyananda said: (Sep 18, 2019)  
Thanks all.

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