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?
Square ABCD has a side length of 4. Construct a quarter circle with radius 4 centered at B and a semi-circle with diameter AD. What is the area of overlap between the quarter circle and semicircle?
The arc, centered at point O, is a quarter-circle. Find the simplest formula for the radius of the circle in terms of a, b, and c.
In a square with a side length of 1, two quarter circles are drawn and a circle is inscribed between the quarter circles, as shown in the diagram. What is the radius of the inscribed circle?
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?
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.
