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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 Other Total

Sales (in Rs) 260 40 100 60 20 480

Draw a pie-chart represent the above sales.

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Solution

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We know:

Central angle of a component =

sumofcomponentvalues

componentvalue

×360

∘

Here, total sales= Rs480

Thus, central angle for each component can be calculated as follows:

Activity Number of workers Sector angles

Ordinary bread 260

480

260

×360

∘

=195

∘

Fruit bread 40

480

40

×360

∘

=30

∘

Cakes and Pastries 100-

480

100

×360

∘

=75

∘

Biscuits 60

480

60

×360

∘

=45

∘

Others 20

480

20

×360

∘

=15

∘

Now, the pie chart 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

∘

. Draw a sector with the central angle 195

∘

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.

We know:

Central angle of a component =

sumofcomponentvalues

componentvalue

×360

∘

Here, total sales= Rs480

Thus, central angle for each component can be calculated as follows:

Activity Number of workers Sector angles

Ordinary bread 260

480

260

×360

∘

=195

∘

Fruit bread 40

480

40

×360

∘

=30

∘

Cakes and Pastries 100-

480

100

×360

∘

=75

∘

Biscuits 60

480

60

×360

∘

=45

∘

Others 20

480

20

×360

∘

=15

∘

Now, the pie chart 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

∘

. Draw a sector with the central angle 195

∘

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.