Posted by Anonymous on Monday, December 24, 2012 at 1:47pm.
AB=36 cm and M is the midpoint of AB. Semicircles are drawn on AB,AM and Mb as diametrs.A circle with centre C touches all the three circles. Find the area of the shaded region.

maths  MathMate, Monday, December 24, 2012 at 9:59pm
There is no diagram posted, and not enough description to give a defined question.
I am adding the following guesses. Check if they are correct. If they are not, post the complete description.
AMB is a straight line such that AM=MB.
Semicircles are drawn with AB,AM and MB as diameters. Also, AM=MB=18 cm.
A circle is drawn with centre C such that CM is perpendicular to AB, and such that the circle is tangent to all three semicircles.
We need to find the interstitial space outside of the circle, the two small semicircles and INSIDE the big semicircle.
Hints:
Use r to represent the radius of the circle, and express the sides of the right triangle joining the centres of the circle, the large semicircle, and one of the small semicircles. Solve for r and find the areas.
See link:
http://img14.imageshack.us/img14/2479/1356374872.jpg
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