The line segment from the center of a circle to the midpoint of a chord is 10 cm long. If the radius is 26 cm, what is the length of the chord?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 48 cm.
Radius OA = 26 cm
Distance from center to midpoint of chord OP = 10 cm
Half chord length AP = √(262 – 102) = √(676 – 100) = √576 = 24 cm
Chord length AB = 2 × 24 = 48 cm