Question

The chord of circle (O,34) touches circle (O,16). The length of the chord is.........​

Answer 1

Step-by-step explanation:

R.E.F image

Given radius of circle = 34 cm

distance of chord form center = 30 cm

Given OA=34cm

OC=30cm

△OAC is right angled

By applying Pythagorean's theorem

OA

2

=OC

2

+AC

2

AC

2

=OA

2

−OC

2

(34)

2

−(30)

2

=1156−900

=256

AC=

256

=16cm

∴ length of chord = 2AC = AB 2(16 cm)

=32cm

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