CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

If radii of two consecutive circles are 15cm and 17cm then find the length of one circle which is tangent to one other

Open in App
Solution


O is the centre of both circles. Chord AB of larger circle touches smaller circle at P. Radius OP perpendicular chord AB.
Radius OA = 15 cm and radius OP = 15cm.
Applying Puthagoras theorem to triangleAOP, A P squared equals O A squared minus O P squared equals space 17 squared minus 15 squared space equals 289 minus 225 equals 64
=> AP =8. Radius perpendicular to a chord bisects it so AP = 1/2 AB
AB = 2PB = 16cm
Answer: Length of chord = 16cm

flag
Suggest Corrections
thumbs-up
35
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Locus of the Points Equidistant from Two Concentric Circles
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon