# Area of circle inscribed with 3 smaller circles

## Homework Statement

A large circle is inscribed with 3 smaller circles, eachhttps://www.physicsforums.com/newthread.php?do=newthread&f=156 [Broken] of the four circles is tangent to the other three. If the radius of each of the smaller circles is a, find the area of the largest circle.

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## The Attempt at a Solution

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lanedance
Homework Helper
Hi rayrenz - is there a question here ?

if its just to check you work, then you need to show how you got to the answer

lanedance
Homework Helper
ok, so what ideas do you have?

that's the problem to this, to show the solution on how to arrive the answer with r=a

maybe find the area of the triangle that connects the center of the three circles

lanedance
Homework Helper
not the area, but that triangle is a good place to start... at the end of the day, you want to find the radius R of the large circle

now back to that triangle... it will be an equilateral triangle - what is the length of one side?

lanedance
Homework Helper
then find the distance form the point of a triangle to both the large circle centre and edge, thus giving R