Question

The following data shows the expenditure of a person on different items during a month. Represent the data by a pie - chart.
$\begin{array}{cccccc}\text{Items of expenditure}& \text{Rent}& \text{Education}& \text{Food}& \text{Clothing}& \text{Others}\\ \text{Amount (in Rs)}& 2700& 1800& 2400& 1500& 2400\end{array}$

Answer 1

Total = 10800
$\begin{array}{ccc}& & \\ & \text{Item}& \text{Central angle}\\ \left(i\right)& \text{Rent}& =\frac{2700}{10800}\times {360}^{\circ }={90}^{\circ }\\ \left(ii\right)& \text{Education}& =\frac{1800}{10800}\times {360}^{\circ }={60}^{\circ }\\ \left(iii\right)& \text{Food}& =\frac{2400}{10800}\times {360}^{\circ }={80}^{\circ }\\ \left(iv\right)& \text{Clothing}& =\frac{1500}{10800}\times {360}^{\circ }={50}^{\circ }\\ \left(v\right)& \text{Others}& =\frac{2400}{10800}\times {360}^{\circ }={80}^{\circ }\\ & & {360}^{\circ }\end{array}$
Now we draw a circle and divide it into sector having the above central angles as shown in figure.