Find the area of the brown colored region (outer region) if the radius of each circle is 4 units. Give your answer to 5 decimal places.
Suppose is a cyclic quadrilateral with side being a diameter of length , sides and both having length and side having length such that are all positive integers with
Determine the minimum possible perimeter of
An inscribed Hexagon has sides , . Furthermore, and are trapeziums.
If the length of chord is , where and are relatively prime integers, find .
In the figure there are three semicircles of diameters , , and two circles and which are touching to the line ( is perpendicular to ). Both circles have same radius and are called Archimedean Twins. Now if , and then find the radius of circle .
Let be a cyclic quadrilateral with .
Let and be the points on major arc satisfying and .
Furthermore, let and be the feet of the perpendiculars from and to line .
If , , and , then find the length of .