A chord of length 24 cm is at a distance of 5 cm from the centre of the circle. The radius of the circle is:
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 13 cm.
OM is perpendicular to chord AB.
So, AM = MB = 24/2 = 12 cm
Radius = OA = OB
In right-angle ΔOMA, OA2 = OM2 + AM2
⇒ OA2 = 52 + 122 = 25 + 144 = 169
⇒ OA = √169 = 13
Therefore, the radius of the circle is 13 cm.