Question

Please explain with steps (including how u found the percentage).

Answer 1

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✴First we will discuss about the construction of pie chart or pie graph. In brief let us recall about, what is a pie chart?

✔It is a circular graph which is used to represent data. In this :

● Various observations of the data are represented by the sectors of the circle.

● The total angle formed at the centre is 360°.

● The whole circle represents the sum of the values of all the components.

● The angle at the centre corresponding to the particular observation component is given by

● If the values of observation/components are expressed in percentage, then the centre angle corresponding to particular observation/component is given by
$(percentage \: value \: of \: component \div 100) \times 360 {}^{o}$
And if the values not given in percentage, then add all the values and use the given formula i. e.
$(the \: value \: given \div total \: of \: all \: values) \times 360 {}^{o}$

✔✔✔✔✔✔✔✔✔✔✔✔

✴How to construct a pie chart?

■Steps of construction of pie chart for a given data:

● Find the central angle for each component using the formula given on the previous page.

● Draw a circle of any radius.

● Draw a horizontal radius

● Starting with the horizontal radius, draw radii, making central angles corresponding to the values of respective components.

● Repeat the process for all the components of the given data.

● These radii divide the whole circle into various sectors.

● Now, shade the sectors with different colours to denote various components.

● Thus, we obtain the required pie chart.

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The total value is 380.

Lion:-
$(25 \div 380) \times 360 \\ = 23.68\%$
Tortoise:-
$(200 \div 380) \times 360 \\ =189.47 \%$
Elephant :-
$(60 \div 380) \times 360 \\ = 56.84\%$
Cat :-
$(15 \div 380) \times 360 \\ = 14.21\%$
Man :-
$(80 \div 380) \times 360 \\ = 75.78\%$

NOW WITH THIS INFORMATION WE CAN CONSTRUCT A PIE CHART.
See image for the chart.

HOPE IT HELPS

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