A chord of a circle radius (sqrt{3cm}) subtends an angle of 60° on the circumference of he circle. Find the length of the chord
-
A.
(frac{sqrt{3}}{2}) -
B.
(frac{3}{2}) -
C.
3 -
D.
(sqrt{3})cm
Correct Answer: Option D
Explanation
Length of chord = (2r times sin(frac{theta}{2}))
= ( 2 times sqrt{3} times sin(frac{60}{2}))
= (2 times sqrt{3} times frac{1}{2})
= (sqrt{3}) cm.