A chord of a circle subtends an angle of 60o at the length of a circle of radius 14 cm. Find the length of the chord
-
A.
7 cm -
B.
14 cm -
C.
21 cm -
D.
28 cm
Correct Answer: Option B
Explanation
Chord Length (L) = (2 times Radius times (sin frac{angle}{2}))
= (2 times 14 times (sin frac{60}{2}))
= ( 28 times (sin 30))
= (28 times frac{1}{2})
= (14cm)