The numbers of Science, Arts and Commerce graduates working in a company are 30, 70 and 50 respectively. If these figures are represented by a pie chart, then what is the angle corresponding to Science graduates?

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NDA (Held On: 18 Apr 2021) Maths Previous Year paper
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  1. 36°
  2. 72°
  3. 120°
  4. 168°

Answer (Detailed Solution Below)

Option 2 : 72°
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Detailed Solution

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Concept:

In a pie chart, the central angle of each slice of the pie is proportional to its value as compared to the total value.

θ = \(\rm \frac{\text{Value of Slice.}}{\text{Total Value.}}\times360^\circ\)

 

Calculation:

Angle corresponding to the Science graduates = θ = \(\rm \frac{\text{Number of Science graduates.}}{\text{Total number of graduates.}}\times360^\circ\).

\(\rm \frac{30}{30+70+50}\times360^\circ\)

\(\rm \frac{30}{150}\times360^\circ\)

= 72°.

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