If the radii of two concentric circles are 5cm and 13cm, then the length of the chord of one circle which is tangent to the other circle is:
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ShamnaNazar95:
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The radii of two concentric circles is 24 cm.
Step-by-step explanation:
Given:
We have AD=13 cm [Radius of bigger circle]
CD=5 cm [Radius of smaller circle
As line joining point of contact of tangent to centre of circle is perpendicular to tangent.
Hence CD⊥ AB.
Now perpendicular from centre of circle to the chord bisects the chord. Hence DC bisects chord AB of bigger circle.
AB=2 AC or AC=BC
Now in right angled triangle ACD, we have
[Pythagoras Theorem]
AC=12 cm
Therefore AB=2AC
AB=
AB=24 cm.
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