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Discussion

If there is a 20% increase in the number of students who play football, and the total number of students remains the same (1200), what will be the new central angle for the Football sector?

  • A.90°
  • B.108°
  • C.97.2°
  • D.102.5°

Answer: B

Original number of football students = 25% of 1200 = 300.

A 20% increase means the new number is 300 * 1.20 = 360.

The new percentage of students playing football = \(\frac{360}{1200} \times 100 = 30\)%.

The new central angle = 30% of 360° = 0.30 * 360 = 108°.

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