A challenging question for Christmas
My favorite two topics are Pythagoras’ Theorem and Circles. This problem combines both, and also has a nice extension which will get the old ‘grey matter’ working again after the break.
The diagram shows three circles all lying along a line which is tangential to all three circles.
- The large circle has a radius of 4.
- The middle sized circle has a radius of 2.
- Show that the radius of the smallest circle is 4(3 - 2√2)
This problem has a nice extension.
If the larger circle has radius R1, the middle sized circle has radius R2 and the smallest circle has radius r show that
This problem featured on Presh Talwalker’s YouTube channel Mind Your Decisions. To watch a solution click here