A circle has a radius of 13 cm. A chord is drawn at a distance of 5 cm from the center. What is the length of the chord?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 24 cm.
Radius OA = 13 cm
Distance of chord from center OP = 5 cm
Half chord AP = √(132 – 52) = √(169 – 25) = √144 = 12 cm
Chord length AB = 2 × 12 = 24 cm