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# The Percentages of Various Categories of Workers in a State Are Given in the Following Table. - Mathematics

Course
ConceptCircle Graph Or Pie Chart - Drawing Pie Charts

#### Question

The percentages of various categories of workers in a state are given in the following table.

 Categoies Culti-vators Agricultural Labourers Industrial Workers Commercial Workers Others % of workers 40 25 12.5 10 12.5

Present the information in the form a pie-chart.

#### Solution

We know:
Central angle of a component = (component value/sum of component values x 360)
Here, total percentage of workers = 100
Thus, the central angle for each component can be calculated as follows:

 Category Percentage of workers Sector angle Cultivators 40 40/100 x 360 = 144 Agricultural labourers 25 25/100 x 360 = 90 Industrial workers 12.5 12.5/100 x 360 = 45 Commercial workers 10 10/100 x 360 = 36 Others 12.5 12.5/100 x 360 = 45

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 144o. Draw a sector with the central angle 144o 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 direction in descending order of magnitudes of their central angles.
​Step 5 : Shade the sectors with different colours and label them, as shown as in figure below.​​ Is there an error in this question or solution?

#### APPEARS IN

RD Sharma Solution for Mathematics for Class 8 by R D Sharma (2019-2020 Session) (2017 to Current)
Chapter 25: Data Handling-III (Pictorial Representation of Data as Pie Charts or Circle Graphs)
Ex. 25.1 | Q: 5 | Page no. 12

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Solution The Percentages of Various Categories of Workers in a State Are Given in the Following Table. Concept: Circle Graph Or Pie Chart - Drawing Pie Charts.
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