 # Percentage of the different products of a village in a particular district are given below.

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 % 1253">1253 1256">1256 252">252 503">503 253">253 100

Solution:

We know:
Central angle of a component = (component value/sum of component values ×">× 360ο)

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 ×">× 360 = 149.97 Pulses 125/6 20.83 20.83/100 ×">× 360 = 74.98 Jwar 25/2 12.5 12.5/100 ×">× 360 = 45 Groundnuts 50/3 16.66 16.66/100 ×">× 360 = 59.97 Vegetables 25/3 8.33 8.33/100 ×">× 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 149.97o. Draw a sector with the central angle 149.97o 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.​​ 