Three circles of radius 6, 7, and 8 are externally tangent to each other. There exists a smaller circle tangent to all three (in the space created between the three original circles).

What is the radius of this smallest circle?

The required radius is approximately  1.07001 (rounded to 5 places of decimals)

Edited on March 22, 2022, 1:45 am

Posted by K Sengupta on 2022-03-22 01:44:04