two concentric circle circle one and Circle to are in radii of 5 cm and 3 cm find the length of the chord of circle one tangent to Circle to at length
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hello users
solution
In triangle OAD and OBD
OA = OB = 10 cm (Radius of larger circle)
And
OD = 6 cm ( Radius of smaller circle)
And
AD and BD are the length of tangents
And
AB = length of chord of larger circle
Here
Using Pythagoras theorem
H² = B² + P²
Here
AD = BD =√ (OA² - OD²) = √ (OB² - OD² )
=> AD = √ (10² - 6²)
= √ (100 - 36)
= √ 64
= 8 cm
=> AD = BD = 8 cm
Hence
the length of chord = AB
= AD + BD
= 8 cm + 8 cm
= 16 cm Answer
# hope it helps :)
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