An arc of length 10.8 cm subtends an angle of 1.2 radians at the centre

FURTHER MATHEMATICSWAEC 2009

An arc of length 10.8 cm subtends an angle of 1.2 radians at the centre of a circle. Calculate the radius of the circle.

  • A. 12.6 cm
  • B. 12.0 cm
  • C. 9.6 cm
  • D. 9.0 cm

Correct Answer: D. 9.0 cm

Explanation

Length of arc (in radians) = \(r \theta\)

\(10.8 = 1.2r\)

\(r = \frac{10.8}{1.2} = 9.0 cm\)

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