SOLUTION: What is the circumference of the largest circle that can be inscribed in a semicircular region of radius r?

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Question 1098104: What is the circumference of the largest circle that can be inscribed in a semicircular region of radius r?
Found 2 solutions by t0hierry, ikleyn:
Answer by t0hierry(194) About Me  (Show Source):
You can put this solution on YOUR website!
it will be a circle of radius r/4 so its diameter can be less or equal to r.
It's circumference is 2 pi r/4 = pi r/2

Answer by ikleyn(52829) About Me  (Show Source):
You can put this solution on YOUR website!
.
It is more than obvious  that the radius of the inscribed circle is  HALF of the radius of the original circle:   r = R%2F2.


So,  its circumference is 2%2Api%2Ar = 2%2Api%2A%28R%2F2%29 = pi%2AR =

= half of the circumference of the original circle.



Ignore the other solution,  since it is   I N C O R R E C T.