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
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.