The radius of a circle is 12.5 cm and the length of one its chords is 11 cm. What is the distance of the chord from the centre? (correct to one decimal place)
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 ie. 11.2 cm.
Let O be the center of the circle and AB be the chord.
When a line is drawn from the center to the chord of the circle, it cuts the chord into two equal parts and makes a perpendicular angle with the chord.
According to the given question,
For the above diagram,
(12.5)2 = x2 + (5.5)2
⇒ x2 = 156.25 - 30.25
⇒ x2 = 126
⇒ x = 11.22