Question

Draw a pie diagram for the following data of expenditure pattern in a family

Items	Food	Clothing	Rent	Education	Unforeseen events	Medicine
Expenditure (\[\% \])	\[40\% \]	\[20\% \]	\[10\% \]	\[10\% \]	\[15\% \]	\[5\% \]

Answer 1

Hint:
We will calculate the central angle of each item based on its percentage by using the formula. Then, we will use these angles to make a pie-chart using the protractor. We will shade the pie-chart with different colours. We will make a legend mentioning which colour represents which item.
Formulas used: The angle \[\theta \] of a sector in the pie chart for a category is given by \[\theta = \dfrac{p}{{100}} \times 360^\circ \] where \[p\] is the percentage of that category.

Complete step by step solution:
We will calculate the angle share for each type of item in the pie chart. We will substitute for \[p\] in the formula \[\theta = \dfrac{p}{{100}} \times 360^\circ \] according to the percentage values given in the table.
Angle for food is given by
\[{\theta _F} = \dfrac{{40}}{{100}} \times 360^\circ = 144^\circ \]
Angle for clothing is given by
\[{\theta _C} = \dfrac{{20}}{{100}} \times 360^\circ = 72^\circ \]
Angle for rent is given by
\[{\theta _R} = \dfrac{{10}}{{100}} \times 360^\circ = 36^\circ \]
Angle for education is given by
\[{\theta _E} = \dfrac{{10}}{{100}} \times 360^\circ = 36^\circ \]
Angle for unforeseen events is given by
\[{\theta _U} = \dfrac{{15}}{{100}} \times 360^\circ = 54^\circ \]
Angle for medicine is given by
\[{\theta _M} = \dfrac{5}{{100}} \times 360^\circ = 18^\circ \]
We will now draw a circle and its radius. We will take this radius as the base and draw the angle with the largest measure using a protractor. Similarly, we will construct other sectors using the measure of their angle. We will represent the sectors in decreasing order of their share in the clockwise direction. We will colour different sectors with different colours and label them. We will also make a legend indicating which colour represents which sector.

Note:
A pie chart is a very useful and concise form of representation especially when we have to know the composition of something or the share of various sectors in a particular thing. It is very useful in comparing the proportions of different sectors.