A circle circumscribed 5 squares with side length 1, as shown below. (The squares are in a 2×2 grid and one circle on the right middle). What is the radius of the circle?
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 with side length 1 is divided into 4 congruent right triangles, as shown, and a square in the center. Inscribe a circle in each triangle and in the center square. If all 5 circles are congruent, what is the radius of each circle?
Three squares are shown. The large square has a side length of 60, and the two smaller squares are congruent and each has a side length of 20. What is the area of triangle ABC?
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?
A circle with radius 1 is divided into 12 congruent regions, as shown below. What is the perimeter of a single region?
