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
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
Chord Length (L) = \(2 \times Radius \times (sin \frac{angle}{2})\)
= \(2 \times 14 \times (sin \frac{60}{2})\)
= \( 28 \times (sin 30)\)
= \(28 \times \frac{1}{2}\)
= \(14cm\)
Source: Myschool Past Questions Archive (Record #8462)