A circle is inscribed inside a trapezium ABCD such that it touches all 4 sides of this trapezium.
Given that the area of this trapezium is 4 and the diameter of the circle is 1, find the value of the ratio AB/CD.
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Square ABCD is inscribed in a quarter circle O such that B and C are on the arc of the quarter circle. If the quarter circle has a radius equal to 1, what is the area of the square?
Three non-concentric circles of equal radii are drawn such that each circle touches the other two externally. The centres are joined to form a triangle whose area is 17320.5 cm^2. Find the area of the triangle not included in the circles.
In the figure square ABCD is inscribed in a circle. EFGH is also a square with points E, F on circle and G, H on side of bigger square. Find the ratio of the areas of the bigger square to the smaller square?
Let ABC be the triangle with AB = 1, AC = 3, and ∠BAC = π/2. If a circle of radius r > 0 touches the sides AB, AC and also touches internally the circumcircle of the triangle ABC, then the value of r is ___.
