Question

There are two concentric circle .the radius if the outer circle is 15 cm . a chord of the outer circle touches the inner circle . if the length of the chord is 18cm find the radius of the inner circle

Answer 1

Heya !!

Here's your answer..⤵⤵
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Radius of outer circle ( OB ) = 15 cm.

Chord of outer circle touches inner circle at D.

Length of chord ( AB ) = 18 cm
so, DB = 18/2
DB = 9cm

OD perpendicular to AB.

In ∆ODB, angle ODB = 90°

OD² + DB² = OB²

OD² = OB² - DB²

OD² = 15² - 9²

OD² = 225 - 81

OD² = 144

OD = √144

OD = 12 cm

Length of radius of inner circle is 12 cm.
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Hope it helps.
Thanks:)

Answer 2

Hello friend

Good morning

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Your answer is given in the attachment

i hope it will help you

Thanks

Have a good day

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