If distance between centre to chord is 12 cm and length of chord

| If distance between centre to chord is 12 cm and length of chord is 10 cm, then the diameter of circle is

A. 26 cm

B. 14 cm

C. 13 cm

D. 30 cm

Please scroll down to see the correct answer and solution guide.

Given a circle with a chord of length = 10 cm = AB

Distance between centre to chord = 12 cm = OP

The line perpendicular from the center to the chord bisects the chord.

From ΔAPO right-angled at P, Using Pythagoras theorem

AO² = AP² + OP²

AO² = 5² + 12²

⇒ AO = 13 cm = radius of the circle

The diameter of the circle = AO + OZ = 13 + 13 = 26 cm