#### Problem Statement: ECE Board April 1998

The distance between the centers of the three circles which are mutually tangent to each other externally are 10, 12, and 14 units. What is the area of the largest circle?

#### Problem Answer:

The area of the largest circle is **64 π**.

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How did you get the item number 4?

if you subtracted (r1+r3)-(r2+r3) and the answer is (r1-r2)

Since r1+r3=14 and r2+r3=10,

Can I get the explanation where 16 become 2(r1)?

just evaluate the equation, the left side become 2r1 while the right side is 16