Question

Following is the break up of the expenditure of a family on different items of consumption:
$\begin{array}{cccccccc}\text{Items}& \text{Food}& \text{Clothing}& \text{Rent}& \text{Education}& \text{Fuel etc.}& \text{Medicine}& \text{Miscellaneous}\\ \text{Expenditure (in Rs)}& 1600& 200& 600& 150& 100& 80& 270\end{array}$
Draw a pie - diagram to represent the above data.

Answer 1

Total = Rs 3000
$\begin{array}{cccc}& & & \\ & \text{Item}& \text{Expenditure (in Rs)}& \text{Central angle}\\ \left(i\right)& \text{Food}& 1600& \frac{1600\times {360}^{\circ }}{3000}={192}^{\circ }\\ \left(ii\right)& \text{Clothing}& 200& \frac{200\times {360}^{\circ }}{3000}={24}^{\circ }\\ \left(iii\right)& \text{Rent}& 600& \frac{600\times {360}^{\circ }}{3000}={72}^{\circ }\\ \left(iv\right)& \text{Education}& 150& \frac{150\times {360}^{\circ }}{3000}={18}^{\circ }\\ \left(v\right)& \text{Fuel etc.}& 100& \frac{100\times {360}^{\circ }}{3000}={12}^{\circ }\\ \left(vi\right)& \text{Medicine}& 80& \frac{80\times {360}^{\circ }}{3000}=9.6={10}^{\circ }\\ \left(vii\right)& \text{Miscellaneous}& 270& \frac{270\times {360}^{\circ }}{3000}=32.4={32}^{\circ }\\ & & & {360}^{\circ }\end{array}$
Now, we draw a circle and divide it into sectors having the above central angles as shown in the figure.