Question

Waht do you mean by a circular diagram? Present the data on the expenditure of a labour-family in the form of a circular diagram:

Items of Expenditure	Food	Clothing	Housing	Fuel and Light	Others
Percentage of Income Spent	65	15	12	5	3

Answer 1

Circular diagram or a Pie diagram depicts a circle that is divided into various segments showing the values of different items (components) in percentage terms
For presenting the given percentage values in a pie diagram, the percentage values must be converted into the respective degree values, for which the following formula is used.
$\mathrm{Degree}\mathrm{Value}=\frac{\mathrm{Component}\mathrm{Value}}{100}\times 360$

Item	Percentage Share	Degree Share
Food	65	$\mathrm{Degree}\mathrm{share}\mathrm{of}\mathrm{Food}=\frac{65}{100}\times 360=234°$
Clothing	15	$\mathrm{Degree}\mathrm{share}\mathrm{of}\mathrm{Clothing}=\frac{15}{100}\times 360=54°$
Housing	12	$\mathrm{Degree}\mathrm{share}\mathrm{of}\mathrm{Housing}=\frac{12}{100}\times 360=43.2°$
Fuel & Light	5	$\mathrm{Degree}\mathrm{share}\mathrm{of}\mathrm{Fuel}\mathrm{and}\mathrm{Light}=\frac{5}{100}\times 360=18°$​
Others	3	$\mathrm{Degree}\mathrm{share}\mathrm{of}\mathrm{Others}=\frac{3}{100}\times 360=10.8°$