In a unit square, two quarter circles are drawn, centered at two opposite vertices, What is the area of the oval-shaped region?
The oval shaped area is = 1 - ( 1- pi/4) 2 or .5708
7 non-overlapping unit circles are inscribed inside a large circle as shown below. Find the area of the shaded region?
Three circles of unit radius and touching each other. What is max possible area of blue circle as shown in image? And what about red circles?
Two circles are drawn inside a square with side length 2 + SQRT(2) as shown in the figure. Let the radius of the larger circle be R and the radius of the smaller circle be r . Find the value of R + r
A square contains a semicircle and a quarter circle, as shown. The two circles are tangent to each other. The semicircle has a diameter equal to 12 and the quarter circle has a radius equal to 12. What is the area of the square? What is the length of the tangent line segment AB?
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?
