Question

If the monthly salary of a person is Rs.25000. The amount he spent on fuel and clothing is 5000.The central angle of the sector representing his expenses on clothing and fuel on a pie chart is ________

Answer 1

Answer:

, total salary= 15000, expenses on food and house rent= 60

o

Food and housing expenses from monthly salary=

Centralangleofthepiechart

Centralangleofthepartofpiechart

Given that,

Part of salary spent on food and house rent=

360

o

60

o

=

6

1

Salary spent in amount on food and housing=

6

1

×15000

∴2500 Rs is total amount spent on food and house rent.

Answer 2

Given,

Monthly salary of a person$\[ = 25000\]$

Amount spent on fuel and clothing$\[ = 5000\]$

Solution,

Know that a pie chart is a circular graphical chart.

Therefore, the central angle of the sector representing his expenses on clothing and fuel

$\[\begin{array}{l} \Rightarrow \frac{{5000}}{{25000}} \times 360^\circ \\ \Rightarrow 72^\circ \end{array}\]$

Hence,the central angle of the sector representing his expenses on clothing and fuel is $\[72^\circ .\]$