The question consists of two statements, namely, Assertion (A) and Reason (R). For selecting the correct answer: Assertion (A) Reason (R) The radius of a circle is 10 cm and the length of one of its chords is 16 cm. Then, the distance of the chord from the centre is 6 cm. The perpendicular from the centre of a circle to a chord (other than the diameter) bisects the chord.

Question

Philoid · Accepted Answer

Assertion (A) :

Let O be the centre of the circle and AB be the chord

Construction: Draw, L is the midpoint of AB

Here,

OA = 10cm

AL = AB = 8cm

In ΔOAL,

OL² = OA ² – AL²

OL² = (10)² – (8) ²

OL² = 100 – 64

OL = = 6cm

Thus, Assertion (A) is true.

Clearly, reason (R) given Assertion (A).

Hence, the correct choice is A.

Assertion (A)	Reason (R)
The radius of a circle is 10 cm and the length of one of its chords is 16 cm. Then, the distance of the chord from the centre is 6 cm.	The perpendicular from the centre of a circle to a chord (other than the diameter) bisects the chord.