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

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)   (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(52832)   (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 = .

So, its circumference is = = =

= half of the circumference of the original circle.

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

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