A chord is drawn in a circle with a radius of 15 cm. If the distance of the chord from the center is 9 cm, 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 = 15 cm
Chord distance from center OP = 9 cm
Half chord length AP = √(152 – 92) = √(225 – 81) = √144 = 12 cm
Full chord AB = 2 × 12 = 24 cm