Represent the following data with the help of a pie-diagram:

Question:

Represent the following data with the help of a pie-diagram:

Items Wheat Rice Tea
Production (in metric tons) 3260 1840 900

Solution:

We know:

Central angle of a component $=\left(\right.$ component value $/$ sum of component values $\left.\times 360^{\circ}\right)$

Here, total production = 6000 (in metric tons)
Thus, the central angle for each component can be calculated as follows:
 

Item Production
(in metric tons)
Sector angle
Wheat 3260 3260/6000 x 360 = 195.6
Rice 1840 1840/6000 x 360 =1 10.4
Tea 900 900/6000 x 360 = 54

Total = 6000 (in metric tons)

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 195.6o. Draw a sector with the central angle 195.6 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 the other sectors representing the other items in the clockwise direction  in descending order of magnitudes of their central angles.

Step 5 : Shade the sectors with different colours and label them as shown in the figure below.​​

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