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UPCAT Mathematics practice question 46: In a circle of radius 6 cm, what is the length of an arc subtending a central angle of 60°?

Correct answer

C. 2π cm

The arc is 60/360 = 1/6 of the circumference. The circumference is 12π, so the arc is 2π cm.

In a circle of radius 6 cm, what is the length of an arc subtending a central angle of 60°?

  1. π cm
  2. 6π cm
  3. 2π cmCorrect
  4. 12π cm

Why C is correct

The arc is 60/360 = 1/6 of the circumference. The circumference is 12π, so the arc is 2π cm.

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