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In a pie chart, the central angle for a component value of 320 when the total value of 1440 is:
A. ${{90}^{\circ }}$
B. ${{85}^{\circ }}$
C. ${{80}^{\circ }}$
D. ${{75}^{\circ }}$
E. None of these

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Last updated date: 24th Jul 2024
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Answer
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Hint: A pie chart is a circular representation. The collection of data is represented as a form of circular graph. Pie charts are basically very useful in representing that type of data where we represent a different percentage of a whole. The slices of pie show the relative size of the data. It is a type of pictorial representation of data.

Complete step by step answer:
According to our question it is asked that in a pie chart, the central angle for a component value of 320 when the total value of 1440 is: As we know that a pie chart is made on a fixed configuration of component value and total value. And the value of these component values and total value is different for every other pie chart and if we see how to find these values, then the angles and these two components always have a relation. And that relationship is as a ratio of component value with total value multiplied by ${{360}^{\circ }}$ is equal to the angle on these configurations in pie-chart. And thus we can calculate for both of these.
So, it can be written as,
 $\text{Angle}=\dfrac{\text{component value}}{\text{total value}}\times {{360}^{\circ }}$
So, our component value is 320 and total value is 1440.
So, if we calculate angle for this, then:
Angle is equal to,
$\begin{align}
  & =\dfrac{320}{1440}\times 360 \\
 & =\dfrac{115200}{1440} \\
 & ={{80}^{\circ }} \\
\end{align}$
So, the angle for this is ${{80}^{\circ }}$

So, the correct answer is “Option C”.

Note: While solving these types of questions you have to keep in mind that you are calculating for the angle or for any other for this. But always use the correct digits at the correct place. If we put our digits at one another place then the question will be totally wrong.