Question

1. Radius of circle is 10 There are two chords of length 16 cm each. What will be the distance of these I chords from the centre of the circle?​

Answer 1

Ans: 6cm. Hope the answer helps you???

Length of the chord AB=16cm and radius(r)=10cm.

To find:- OM

Construction: Draw a perpendicular OM from centre O such that it bisects the chord AB

Proof: In right angled ΔOMB

OB 2 =OM 2 +BM 2

⇒(10) 2 =OM 2 +(8) 2

⇒100=OM 2 +64

⇒OM 2=100−64

⇒OM 2 =36

⇒OM= 36

⇒OM=6cm

∴ Hence, the distance of the chord from the centre of the circle is 6cm.