JAMB Mathematics 2013 Question 28

Question 28

Circle Theorems

Find the length of a chord which subtends an angle of 90° at the centre of a circle whose radius is 8cm.

  1. A.8√3 cm
  2. B.4 cm
  3. C.8 cm
  4. D.8√2 cm
Show the answer and explanation

Answer: D (8√2 cm)

Explanation

The two radii and the chord form a right-angled triangle, so chord = √(82 + 82) = 8√2 cm.