JAMB 2001 · UME · Q25

The chord STST of a circle is equal to the radius rr of the circle. Find the length of the arc STST.

Worked solution (try it first)
  1. The chord and the two radii to SS and TT are all rr, so that triangle is equilateral and the arc makes 60∘60^\circ at the centre.
  2. Arc length is θ360∘×2πr\frac{\theta}{360^\circ} \times 2\pi r, so the arc is 60360×2πr\frac{60}{360} \times 2\pi r.
  3. That simplifies to πr3\frac{\pi r}{3}, option B.

Report a problem with this question