Question

The following table shows how a student spends his pocket money during the course of a month. Represent it by a pie-diagram.
$\begin{array}{ccccc}\text{Item}& \text{Food}& \text{Entertainment}& \text{Other expenditure}& \text{Savings}\\ \text{Expenditure}& 40\%& 25\%& 20\%& 15\%\end{array}$

Answer 1

Total expenditure = 100
$\begin{array}{ccc}& & \\ & \text{Item}& \text{Central angle}\\ \left(i\right)& \text{Food}& =40\%=\frac{40}{100}\times {360}^{\circ }={144}^{\circ }\\ \left(ii\right)& \text{Entertainment}& =25\%=\frac{25}{100}\times {360}^{\circ }={90}^{\circ }\\ \left(iii\right)& \text{Other expenditure}& =20\%=\frac{20}{100}\times {360}^{\circ }={72}^{\circ }\\ \left(iv\right)& \text{Savings}& =15\%=\frac{15}{100}\times {360}^{\circ }={54}^{\circ }\\ & & {360}^{\circ }\end{array}$
Now, we draw a circle and divide it in sectors having the above central angles as shown in the figure.