Mathematics

The angle subtended at the centre by a chord of a circle radius 6cm is…

The angle subtended at the centre by a chord of a circle radius 6cm is 120°. Find the length of the chord.

  • A.
    3cm
  • B.
    6cm
  • C.
    (4sqrt{2}) cm
  • D.
    (3sqrt{3}) cm
  • E.
    (6sqrt{3}) cm
Correct Answer: Option E
Explanation

(frac{r}{6} = sin 60 )

(r = 6 sin 60)

= (6 times frac{sqrt{3}}{2})

= (3sqrt{3})

Chord = 2r = ( 2 times 3sqrt{3})

= (6sqrt{3})