Question

Draw a pie - diagram for the following data of expenditure pattern in a family.
$\begin{array}{ccccccc}\text{Items}& \text{Food}& \text{Clothing}& \text{Rent}& \text{Education}& \text{Unforeseen events}& \text{Medicine}\\ \text{Expenditure (in percent)}& 40\%& 20\%& 10\%& 10\%& 15\%& 5\%\end{array}$

Answer 1

Total = 100
$\begin{array}{ccc}& & \\ & \text{Item}& \text{Central angle}\\ \left(i\right)& \text{Food}& 40\%of{360}^{\circ }=\frac{40\times {360}^{\circ }}{100}={144}^{\circ }\\ \left(ii\right)& \text{Clothing}& 20\%of{360}^{\circ }=\frac{20\times {360}^{\circ }}{100}={72}^{\circ }\\ \left(iii\right)& \text{Rent}& 10\%of{360}^{\circ }=\frac{10\times {360}^{\circ }}{100}={36}^{\circ }\\ \left(iv\right)& \text{Education}& 10\%of{360}^{\circ }=\frac{10\times {360}^{\circ }}{100}={36}^{\circ }\\ \left(v\right)& \text{Unforeseen events}& 15\%of{360}^{\circ }=\frac{15\times {360}^{\circ }}{100}={54}^{\circ }\\ \left(vi\right)& \text{Medicine}& 5\%of{360}^{\circ }=\frac{5\times {360}^{\circ }}{100}={18}^{\circ }\\ & & {360}^{\circ }\end{array}$

Now we draw a circle and divide it into sectors having the above central angles as shown in the figure.