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Q) Find the maximum radius of a semi-circle that can be placed inside a square of side 'a'
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9 Answers
36why?
it can't be the diameter... or else the circumference will go out of the square.... touching one of its vertex...
maybe i m wrong... but just shared my view...!!
262
i think this will be the diagram for the maximum possible radius
1Is it necessary that the semi-circle should touch all the sides of the triangle? Or is it just placed inside it?
Please explain clearly.
262it is actually placed in the square , but for the condition of max. radius it should touch two sides.
1And yes its square I said Triangle by mistake :P.!
I don't know whether I'm correct or not but I got something like this,
Max. Radius = length of diagonal - length of extended radius whole divided by 2
length of extended radius means→ (radius of circle is extended to touch one of the vertex of the square).
I will post solution too shortly which I got.
Today Night.
1
And in the final step its √2 a. I missed a.
And yes AC is the diagonal
Does this make any sense or not??
If it doesnt then why??