Mathematics

A chord of a circle subtends an angle of 60o at the length of a…

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)