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In One Day the Sales (In Rupees) of Different Items of a Baker'S Shop Are Given Below: - Mathematics

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Question

In one day the sales (in rupees) of different items of a baker's shop are given below:

Items Ordinary bread Fruit bread Cakes and Pastries Biscuits Others Total
Sales (in Rs) 260 40 100 60 20 480

Draw a pie-chart representing the above sales.

Sum

Solution

We know:
Central angle of a component = (component value/sum of component values x 360)
Here, total sales = Rs 480
Thus, the central angle for each component can be calculated as follows:
 

Item Sale (in Rs) Sector angle
Ordinary bread 260 260/480 x 360 = 195
Fruit bread 40 40/480 x 360 = 30
Cakes and pastries 100 100/480 x 360 = 75
Biscuits 60 60/480 x 360 = 45
Others 20 20/480 x 360 = 15


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 195o. Draw a sector with the central angle 195o 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 the 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.​​

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Chapter 25: Data Handling-III (Pictorial Representation of Data as Pie Charts or Circle Graphs) - Exercise 25.1 [Page 12]

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RD Sharma Mathematics [English] Class 8
Chapter 25 Data Handling-III (Pictorial Representation of Data as Pie Charts or Circle Graphs)
Exercise 25.1 | Q 3 | Page 12

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