Two concentric circles are drawn in such a way that radius of the outer circle is equal to diameter of the inner circle. If a point is marking in the picture without looking in it,
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Answer:
According to question,
Radius of larger circle is 5cm
and length of tangent AC to smaller circle is 8cm.
We know that , tangent is perpendicular to radius through point of tangency,
And M, is the mid point of tangent from figure,
so AM=4cm
Therefore ,
△AMO is the right angle triangle, with OM as radius of smaller circle,
So, from pythagorous theorem,
OA
2
=OM
2
+AM
2
=> 5
2
=OM
2
+4
2
=> OM=3
=> Hence radius of smaller circle =3cm
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