Answer :

Given:

Radius of larger circle = 5 cm.


Radius of smaller circle = 3 cm.


Solution:


The diagram for the question is as follows:



AB is a tangent for smaller circle, and we know that tangent at any point is perpendicular to the radius through point of contact.


Hence, OP AB


Also, AB is a chord for large circle, and we know perpendicular from center to the chord bisects the chord


Hence,



Now, In ΔOAP


By Pythagoras theorem,


OA2 = AP2 + OP2


AP2 = OA2 – OP2


Here, OA = radius of bigger circle = 5 cm


and OB = radius of smaller circle = 3 cm


AP2 = 52 – 32


AP2 = 25 – 9


AP2 = 16


AP = 4 cm


Hence,


AB = 2 AP


= 2(4) = 8 cm


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Heights and Distances-IHeights and Distances-IHeights and Distances-I45 mins
Sphere and HemisphereSphere and HemisphereSphere and Hemisphere16 mins
Resources and Development RevisionResources and Development RevisionResources and Development Revision28 mins
Cube and CuboidCube and CuboidCube and Cuboid41 mins
History - Concept and QuestionsHistory - Concept and QuestionsHistory - Concept and Questions57 mins
Corrosion: Types, Pros and ConsCorrosion: Types, Pros and ConsCorrosion: Types, Pros and Cons41 mins
Right Circular CylinderRight Circular CylinderRight Circular Cylinder45 mins
Right Circular Cone And FrustumRight Circular Cone And FrustumRight Circular Cone And Frustum43 mins
Revision on Substitution and  Elimination MethodRevision on Substitution and  Elimination MethodRevision on Substitution and Elimination Method44 mins
Area Related to Circles- Important Formula and ConceptsArea Related to Circles- Important Formula and ConceptsArea Related to Circles- Important Formula and Concepts59 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

A circle with cenRajasthan Board Mathematics

Fill in the blankRajasthan Board Mathematics

Write True/False.Rajasthan Board Mathematics

The length of a tRajasthan Board Mathematics

Two concentric ciRajasthan Board Mathematics