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?
In a unit square, two quarter circles are drawn, centered at two opposite vertices, What is the area of the oval-shaped region?
7 non-overlapping unit circles are inscribed inside a large circle as shown below. Find the area of the shaded region?
In a circle of radius 1, an equilateral triangle is inscribed in the circle as shown. What is the area of the blue region?
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?
A circle of radius 1 is tangent to the parabola y=x^2 as shown. Find the gray area between the circle and the parabola?
