Pie Chart

Pie chart can used to compare the relation between the whole and its components. Pie chart is a circular diagram and the area of the sector of a circle is used in pie chart. Circles are drawn with radii proportional to the square root of the quantities because the area of a circle is 2\pi {r^2}.

To construct a pie chart (sector diagram), we draw a circle with radius (square root of the total). The total angle of the circle is {360^ \circ }. The  angles of each component are calculated by the formula.

 Angle\,of\,Sector = \frac{{{\text{Component  Part}}}}{{{\text{Total}}}} \times {360^ \circ }

These angles are made in the circle by mean of a protractor to show different components. The arrangement of the sectors is usually anti-clock wise.

Example:

The following table gives the details of monthly budget of a family. Represent these figures by a suitable diagram.

Item of Expenditure

Family Budget

Food

\$ {\text{ 600}}

Clothing

\$ {\text{ 100}}

House Rent

\$ {\text{ 400}}

Fuel and Lighting

\$ {\text{ 100}}

Miscellaneous

\$ {\text{ 300}}

Total

\$ {\text{ 1500}}

Solution:

The necessary computations are given below:

 Angle\,of\,Sector = \frac{{{\text{Component  Part}}}}{{{\text{Total}}}} \times {360^ \circ }

Items

Family Budget

Expenditure $

Angle of Sectors

Cumulative Angle

Food

600

{144^ \circ }

{144^ \circ }

Clothing

100

{24^ \circ }

{168^ \circ }

House Rent

400

{96^ \circ }

{264^ \circ }

Fuel and Lighting

100

{24^ \circ }

{288^ \circ }

Miscellaneous

300

{72^ \circ }

{360^ \circ }

Total

1500

{360^ \circ }

 

Pie Chart

Pie Chart

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