2021-11-05

Dare2solve | Common tangent to circle and semicircles - Circle passes through center of semicircles

This question was uploaded on 04/11/21 on social media accounts.



Solution:

\[x = \frac{R+r}2\]
\[y = \frac{R-r}2\]
\[a=b=\sqrt{x^2-y^2}=\sqrt{rR}\]
\[\Rightarrow a+b=2\sqrt{rR}\]

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