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Amit Tapas Grade: 10
        

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6 years ago

Answers : (1)

vikas askiitian expert
510 Points
										

let center of smaller circle is  P ....coordinates of P will be (r,r) ..........


r is the radius of smaller circle...


 


let point of contact of both circles if q then , pq = r     (from the diagram)


if o is origin then


 


op = (r2+r2) = r(root2)                               (by distance formula)


oq = op + pq = r(root2) + r = r(root2+1)


oq is also radius of bigger circle so


R = r(root2+1)


r = 1  (given) so


R = (root2+1)

6 years ago
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