Question

Percentage of the different products of a village in a particular district are given below. Draw a pie-chart representing this information.

Items	Wheat	Pulses	Jwar	Grounnuts	Vegetables	Total
%	$\frac{125}{3}$	$\frac{125}{6}$	$\frac{25}{2}$	$\frac{50}{3}$	$\frac{25}{3}$	100

Answer 1

We know:
Central angle of a component = (component value/sum of component values $\times$ 360^ο)
Here, the total % of items = 100
Thus, the central angle for each component can be calculated as follows:

Item		In %	Sector angle
Wheat	125/3	41.66	41.66/100 $\times$ 360 = 149.97
Pulses	125/6	20.83	20.83/100 $\times$ 360 = 74.98
Jwar	25/2	12.5	12.5/100 $\times$ 360 = 45
Groundnuts	50/3	16.66	16.66/100 $\times$ 360 = 59.97
Vegetables	25/3	8.33	8.33/100 $\times$ 360 = 29.98

Now, the pie chat representing the given data can be constructed by following the steps below:
Step 1 : Draw circle of an appropriate radius.
Step 2 : Draw a vertical radius of the circle drawn in step 1.
Step 3 : Choose the largest central angle. Here the largest central angle is 149.97^o. Draw a sector with the central angle 149.97^o in such a way that one of its radii coincides with the radius drawn in step 2 and another radius is in its counter clockwise direction.
Step 4 : Construct other sectors representing other items in the clockwise sense in descending order of magnitudes of their central angles.
​Step 5 : Shade the sectors with different colours and label them, as shown as in the figure below.​​