Question

The monthly income of a family is Rs.28000.the monthly expenditure of the family on various items is given below.

ITEM	RENT	FOOD	CLOTHING	EDUCATION	SAVING
EXPENDITURE (IN Rs.)	8000	10800	5600	3600	800

Represent the above data by a pie chart.

Answer 1

We know that a pie chart is nothing but a circle which is divided in different parts according to the various items or objects in the question. So we will find the value of each item in degrees and will allot that much portion of pie chart to it. Let’s start!

Complete step by step solution:
Here we are given 5 different items on which a family spends some amount on a monthly basis . It also involves their saving. The monthly income of the family is Rs. 28000
We have to divide a full circle of ${360^ \circ }$ in these 5 parts depending upon the value of rs. In degrees.so let’s find it out.
Here monthly income is equal to whole circle that is ${360^ \circ }$
And then in order to find the value of the remaining parts we will use our ever useful unitary method!
So, if

$$28000 = {360^ \circ } \\\ 8000 = ? \\\$$

This will be the pattern for all items. So instead of writing them in line let’s tabulate them!

ITEM	AMOUNT IN Rs.	DEGREES IN PIE CHART
1.RENT	Rs.8000	$\dfrac{{360}}{{28800}} \times 8000 = \dfrac{{360 \times 80}}{{288}} = {100^ \circ }$
2. FOOD	Rs.10800	$\dfrac{{360}}{{28800}} \times 10800 = \dfrac{1}{{80}} \times 10800 = {135^ \circ }$
3.CLOTHING	Rs.5600	$\dfrac{{360}}{{28800}} \times 5600 = \dfrac{1}{{80}} \times 5600 = {70^ \circ }$
4.EDUCATION	Rs.3600	$\dfrac{{360}}{{28800}} \times 3600 = \dfrac{1}{{80}} \times 3600 = {45^ \circ }$
5.SAVING	Rs.800	$\dfrac{{360}}{{28800}} \times 800 = \dfrac{1}{{80}} \times 800 = {10^ \circ }$

Now since we have values of all items in degrees let’s get the pie chart done. Very first using a protractor divide the regions in the respective degrees. And then either give name on each section or part or on the right side of the pie chart note the information with different colours and the quantity in which they are given originally like as shown below. Always remember to give a suitable name to your pie chart.

Note:
Here in this problem with calculations if you observe the table of degrees in pie chart I have calculated a fixed ratio of $\dfrac{{360}}{{28800}} = \dfrac{1}{{80}}$. So it helps to make calculations easy. Students try to minimize as many fractions to the simplest form as possible.