In a circle, two chords are 7 cm and 9 cm long. If the 9 cm chord is 4 cm away from the center, what can be said about the distance of the 7 cm chord from the center?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. It is greater than 4 cm.
Let the distance of the 7 cm chord from the center = d cm
r2 = (9/2)2 + 42 = 20.25 + 16 = 36.25
For 7 cm chord: (7/2)2 + d2 = 36.25
⇒ 12.25 + d2 = 36.25
⇒ d2 = 24
⇒ d = 2√6 ≈ 4.9 cm > 4 cm