The length of the chord of a circle is 10 cm and perpendicular distance between the centre and the c...........

Quantitative Aptitude ( CCS) Geometry

The length of the chord of a circle is 10 cm and perpendicular distance between the centre and the chord is 12 cm. then the radius of the circle is:

15 cm

13 cm

18 cm

21 cm

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Explanation:

Here, AB is the chord of length 10 cm
i.e. AB = 10 cm.
So, AC = CB = 10/2 = 5cm
⇒ AC = 5cm
Here, AO is the required length as AO is the radius of the circle & we know OC = 12 cm
Applying pythagoras theoram
⇒ AC² + OC² = AO²
AO² = (5)² + (12)²
AO² = 25 + 144
AO² = 169
AO = √169
AO = 13
So, the radius of the circle is 13 cm