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})