A geometry problem by Ajay Sambhriya
The above shows a square ABCD with side length 10.
A semicircle of diameter 10 is drawn on the side AD.
CK is a straight line that is tangent to both the semicircle and the smaller circle of radius R.
The smaller circle is inscribed inside the triangle KBC.
Find R.
The answer is 2.5.
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
