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JAMB Mathematics 2005 Question 28

Question 28

Circle Theorems

A chord of a circle subtends an angle of 60° at the centre of a circle of radius 14cm. Find the length of the chord.

  1. A.7cm
  2. B.14cm
  3. C.21cm
  4. D.28cm
Show the answer and explanation

Answer: B (14cm)

Explanation

The two radii and the chord form a triangle with a 60° angle between equal sides, so it is equilateral and the chord is 14cm.