A chord of length 24 cm subtends a right angle at the center of the circle. What is the radius of the circle?
Show answer & explanation
Correct answer: B
Explanation
Chord = 24 cm, Angle at the center = 90°
Chord = 2r sin(θ/2)
24 = 2r sin(90°/2)
= 2r sin 45°
= 2r × (1/√2)
= √2 r
⇒ r = 24 / √2
= 24√2 / 2
= 12√2 cm