Single correct option
A chord of a circle of radius 13 cm is at a perpendicular distance of 5 cm from the centre. Find the length of the chord.
- A. 20 cm
- B. 22 cm
- C. 24 cm
- D. 26 cm
Show answer and solution
Answer: (C) 24 cm
The perpendicular from the centre bisects the chord. Using the Pythagorean theorem on the right triangle formed by the radius, the perpendicular distance, and half the chord: (half-chord)² = 13² − 5² = 169 − 25 = 144, so half-chord = 12 cm. Full chord length = 2 × 12 = 24 cm.
Saved on this device. Sign in or create a free account to keep it on every device.