Given two real numbers
- B
- the width of the base of an isoceles triangle in inches
- H
- the altitude of the same isoceles triangle in inches
Compute to six significant decimal places
- C
- the sum of the circumferences of a series of inscribed circles
stacked one on top of another from the base to the peak; such that
the lowest inscribed circle is tangent to the base and the two
sides and the next higher inscribed circle is tangent to the lowest
inscribed circle and the two sides, etc. In order to keep the time
required to compute the result within reasonable bounds, you may
limit the radius of the smallest inscribed circle in the stack to
a single precision floating point value of 0.000001.
For those whose geometry and trigonometry are a bit rusty, the center of an
inscribed circle is at the point of intersection of the three angular
bisectors.
The input will be a single line of text containing two positive single
precision real numbers (B H) separated by spaces.
The output should be a single real number with twelve significant digits, six
of which follow the decimal point. The decimal point must be printed in column 7.
0.263451 0.263451
0.827648