The percentage of the world population of countries is given in the following table. Find the value of ‘a’. If a pie diagram is to be drawn, what would be the measure of the central angle for the USA?

# The percentage of the world population of countries is given in the following table. Find the value of ‘a’. If a pie diagram is to be drawn, what would be the measure of the central angle for the USA?

1. A
60$°$
2. B
45$°$
3. C
62$°$
4. D
72$°$

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### Solution:

Here, we use,
Percentage of population = 100
Now, we need to find ‘a’,
Thus, Percentage of population in Russia and the USA is 20.
Here, we using
Central angle of India:
Central angle of China:
Central angle of USA:
We have the same component in Russia. That is, 20.
Central angel of others:
Here, drawing a pie chart we get:
Therefore, the Central angle of the USA: Hence, Option (4) is the correct answer.

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