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

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SUMMARY

The discussion focuses on calculating the area of a blue section in a trigonometric circle problem involving three tangent circles. The solution involves forming a triangle with sides measuring 11, 9, and 10 units, which encompasses the blue area and a quarter of each circle. The area of the blue section is determined by subtracting one-fourth of the total area of the circles from the area of the triangle formed by the centers of the circles.

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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

 
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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)
 
santapuri.1 said:
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!
 

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