Question

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

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

Answer 1

We know:
Central angle of a component = (component value/sum of component values x 360)
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 195.6^o. 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.​​