How do I find the area of the blue section in this trig circle problem?

[onandon]

Homework Statement

This is my own sketch of the problem. The radii are listed, and the circles are all tangent. I need to find the area of the blue part.

Homework Equations

The Attempt at a Solution

I've been staring at this for hours. I really have no idea where to start. I'm just looking for a push in the right direction.

Thanks for any help.

Homework Statement

Homework Equations

The Attempt at a Solution

 

[santapuri.1]

Join centers of the circles to form a triangle with sides of 11,9 and 10 units. As you can see this triangle contains blue part+ quarter of each circle.
thus area of the blue part is:
area of the triangle joining centers - 1/4*(area of each circle)

 

[onandon]

Join centers of the circles to form a triangle with sides of 11,9 and 10 units. As you can see this triangle contains blue part+ quarter of each circle.
thus area of the blue part is:
area of the triangle joining centers - 1/4*(area of each circle)

Thanks a ton!