Question : Direction: The given pie chart shows the runs scored by 5 players in a match.
What is the central angle made by the sector of runs scored by Yuvraj?
Option 1: 77.68$^\circ$
Option 2: 66.56$^\circ$
Option 3: 22.58$^\circ$
Option 4: 44.69$^\circ$
Correct Answer: 77.68$^\circ$
Solution :
Runs scored by Yuvraj = 82
Runs scored by all five = 76 + 68 + 52 + 102 + 82 = 380
Central angle = $\frac{\text{Runs by Yuvraj}}{\text{Runs by all five}}$ × 360$^\circ$
= $\frac{82}{380}$ × 360$^\circ$
= $77.68^\circ$
Hence, the correct answer is $77.68^\circ$.
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