Posted by **Anonymous** on Monday, December 24, 2012 at 1:47pm.

AB=36 cm and M is the mid-point 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 semi-circles and INSIDE the big semi-circle.

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

## Answer this Question

## Related Questions

- maths - there are two circles touching each other at one point. The radius of ...
- math - AB=36cm and M ismid point ofAB semicircles are drawn inAB,AMandMBas ...
- Maths - Three circles are placed on a plane in such a way that each circle just ...
- Maths - Three circles are placed on a plane in such a way that each circle just ...
- Math - I am supposed to find the area of the shaded section of a circle. The ...
- maths - A number of circles touch each ather. The area of the smallest circle is...
- maths - 1) Circle centre (7,-2) passes through (-2,10). Calculate radius and ...
- Math - Marian drew a picture of two circles.She wanted to shade only the outer ...
- math - A number of circles touch each ather. The area of the smallest circle is ...
- math - A number of circles touch each ather. The area of the smallest circle is ...

More Related Questions