Circle in a trapezium
Geometry
Level
4
A circle is inscribed inside a trapezium \(ABCD\) such that it touches all 4 sides of this trapezium, as shown above.
Given that the area of this trapezium is 4 and the diameter of the circle is 1, find the value of the ratio \( \dfrac {AB}{CD} \).
Give your answer to 2 decimal places.
Clarification: \(AB\) is longer than \(CD\).
by
Guiseppi Butel