Question

o is centre of circle.Find the length of radius , if the chord of length 16cm is at a distance of 9 cm from the centre of the circle.​

Answer 1

Answer:

Answer

OA is radius

O is the centre of circle.

AB is the chord and OC⊥AB

Segment between the centre of circle bisect the chord into two parts

∴AC=CB=

2

1

AB

∴AC=CB=12

Now ΔOCB is right angle triangle

∴ by Pythagoras theorem

(OC)

2

+(AC)

2

=(OA)

2

(9)

2

+(12)

2

=(OA)

2

81+144=(OA)

2

225=(OA)

2

∴ Taking square root both sides

∴15=OA

∴ The radius of circle 15cm

Answer 2

Answer:

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