Question

Draw a pie chart for the following data:

Team of expenditure	Food	Health	Clothing	Education	Saving
Amount spent in Rupees	3750	1875	1875	1200	7500

Answer 1

Hint: We have been given data for which we have to draw a pie chart. For this, we will first calculate the fraction of expenditure of all the teams given by $\dfrac{\text{Amount spent on the required team}}{\text{Total amount spent on all the teams}}$ then we will calculate the fraction of angle of each team out of ${{360}^{\circ }}$ by multiplying the fraction of expenditure of each team by ${{360}^{\circ }}$. Then when we finally get all the required angles, we can draw the pie chart by drawing a circle through a compass and then by drawing portions of these angles by the help of a protractor.

Complete step-by-step answer:
We here have been given the following data and we have to draw its pie chart:

Team of expenditure	Food	Health	Clothing	Education	Saving
Amount spent in Rupees	3750	1875	1875	1200	7500

For this, we will first calculate the fraction of each team of expenditure.
We know that fraction of expenditure of each team is calculated as: $\dfrac{\text{Amount spent on the required team}}{\text{Total amount spent on all the teams}}$
We will now first calculate the total amount spent on all the teams.
Now, the total amount spent in rupees on all the teams is:
\[\begin{align}
  & 3750+1875+1875+1200+7500 \\
 & \Rightarrow \text{Rs}\text{. }16200 \\
\end{align}\]
Now, we will calculate the fraction of expenditure of each team.
Fraction of expenditure of team food is given as:
$\begin{align}
  & \dfrac{\text{Amount spent on team food}}{\text{Total amount spent on all the teams}} \\
 & \Rightarrow \dfrac{3750}{16200} \\
 & \Rightarrow \dfrac{25}{108} \\
\end{align}$
Fraction of expenditure of team health is given as:
$\begin{align}
  & \dfrac{\text{Amount spent on team health}}{\text{Total amount spent on all the teams}} \\
 & \Rightarrow \dfrac{1875}{16200} \\
 & \Rightarrow \dfrac{25}{216} \\
\end{align}$
Fraction of expenditure of team clothing is given as:
$\begin{align}
  & \dfrac{\text{Amount spent on team clothing}}{\text{Total amount spent on all the teams}} \\
 & \Rightarrow \dfrac{1875}{16200} \\
 & \Rightarrow \dfrac{25}{216} \\
\end{align}$
Fraction of expenditure of team education is given as:
$\begin{align}
  & \dfrac{\text{Amount spent on team education}}{\text{Total amount spent on all the teams}} \\
 & \Rightarrow \dfrac{1200}{16200} \\
 & \Rightarrow \dfrac{2}{27} \\
\end{align}$
Fraction of expenditure of team saving is given as:
$\begin{align}
  & \dfrac{\text{Amount spent on team savings}}{\text{Total amount spent on all the teams}} \\
 & \Rightarrow \dfrac{7500}{16200} \\
 & \Rightarrow \dfrac{25}{54} \\
\end{align}$
Now that we have all the fractions of expenditures on all the teams, we can calculate the fraction of their angles out of the complete angle.
Now, we know that the complete angle of a pie chart is equal to ${{360}^{\circ }}$ and the fraction of angle of each team of expenditure is given as:
$\text{Fraction of expenditure on the required team}\times {{360}^{\circ }}$
Thus, the angle of each team of expenditure is given in a tabular form as:

Team of expenditure	Angle out of the complete angle of each team
Food	$\dfrac{25}{108}\times {{360}^{\circ }}={{83.34}^{\circ }}$
Health	$\dfrac{25}{216}\times {{360}^{\circ }}={{41.66}^{\circ }}$
Clothing	$\dfrac{25}{216}\times {{360}^{\circ }}={{41.66}^{\circ }}$
Education	\[~\dfrac{2}{27}\times {{360}^{\circ }}={{26.67}^{\circ }}\]
Saving	$\dfrac{25}{54}\times {{360}^{\circ }}={{166.67}^{\circ }}$

Now, that we have all the required angles, we can draw a circle through a compass and by the help of a protractor, we can draw these angles inside the circle and label them as they are given to us.
Hence, we will get our pie chart as:

Thus, we have our required pie chart.

Note: We should make sure that when we calculate the fractions of the angles of each team, the sum of all the angles should be equal to ${{360}^{\circ }}$. It is a check if the fractions that we calculated are correct or not. Here also, if we check the sum of all the angles we will get:
${{83.34}^{\circ }}+{{41.66}^{\circ }}+{{41.66}^{\circ }}+{{26.67}^{\circ }}+{{166.67}^{\circ }}={{360}^{\circ }}$
Thus, our calculations are correct.