Question

In a tree plantation programme, the number of trees planted by students of different classes given in the following table. Draw a pie diagram showing the information.

Standard	\[{5^{th}}\]	\[{6^{th}}\]	\[{7^{th}}\]	\[{8^{th}}\]	\[{9^{th}}\]	\[{10^{th}}\]
Number of trees	40	50	75	50	70	75

Answer 1

Hint: In this problem, we need to find the angles corresponding to the number of trees in each class. Next, draw the pie diagram.

Complete step by step solution:
The total number of trees planted by the students is obtained as follows:
\[
  \,\,\,\,\,{\text{Total no of trees}} = 40 + 50 + 75 + 50 + 70 + 75 \\
   \Rightarrow {\text{Total no of trees}} = 360 \\
\]
The angles corresponding to the number of trees in each class is shown in the below table.

Standard	Number of trees	Corresponding central angle
\[{5^{th}}\]	40	\[\dfrac{{40}}{{360}} \times 360^\circ = 40^\circ\]
\[{6^{th}}\]	50	\[\dfrac{{50}}{{360}} \times 360^\circ = 50^\circ\]
\[{7^{th}}\]	75	\[\dfrac{{75}}{{360}} \times 360^\circ = 75^\circ\]
\[{8^{th}}\]	50	\[\dfrac{{50}}{{360}} \times 360^\circ = 50^\circ\]
\[{9^{th}}\]	70	\[\dfrac{{70}}{{360}} \times 360^\circ = 70^\circ\]
\[{10^{th}}\]	75	\[\dfrac{{75}}{{360}} \times 360^\circ = 75^\circ\]

Now, the pie chart is drawn as shown below.

Note: Pie diagram is the circular graphic representation of the data in the form of the slices. Pie chart is used for the representation of the percentage or proportion having each category provided with corresponding slice of pie.