Question

The following data gives the amount spent of the construction of a house. Draw a pie diagram.
$\begin{array}{ccccccc}\text{Item}& \text{Cement}& \text{Timber}& \text{Bricks}& \text{Labour}& \text{Steel}& \text{Miscellaneous}\\ \text{Expenditure (in thousand Rs)}& 60& 30& 45& 75& 45& 45\end{array}$

Answer 1

Total = 300 (in thousands)

$\begin{array}{ccc}& & \\ & \text{Item}& \text{Central angle}\\ \left(i\right)& \text{Cement}& =\frac{60\times {360}^{\circ }}{300}={72}^{\circ }\\ \left(ii\right)& \text{Timber}& =\frac{30\times {360}^{\circ }}{300}={36}^{\circ }\\ \left(iii\right)& \text{Bricks}& =\frac{45\times {360}^{\circ }}{300}={54}^{\circ }\\ \left(iv\right)& \text{Labour}& =\frac{75\times {360}^{\circ }}{300}={90}^{\circ }\\ \left(v\right)& \text{Steel}& =\frac{45\times {360}^{\circ }}{300}={54}^{\circ }\\ \left(vi\right)& Misc.& =\frac{45\times {360}^{\circ }}{300}={54}^{\circ }\\ & & {360}^{\circ }\end{array}$

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