In a circle, a 14 cm long chord is at 24 cm from the centre of the circle. Find the length of the radius of the circle.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 25 cm
Given that
A 14-cm-long chord (AB) is 24 cm distant from the centre (O) of the circle.
So, OP = 24 cm, AP = 14/2 = 7
The length of the radius of the circle,
r2 = AP2 + OP2 = 72 + 242 = 49 + 576 = 625
r = 25 cm
Hence, the radius of circle is 25 cm