A circle contains 4 identical squares, as shown below. If each square has a side length equal to 2, what is the radius of the circle?
A cube contains 9 identical spheres, as shown below. There is one sphere in the center of the cube. Above (and below) the center sphere are 4 spheres tangent to the center sphere and the 4 corners of the cube. What is the radius of each sphere?
A rectangle measures 17 units by 26 units and contains 7 squares, as shown below. What is the area of a single square?
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 with radius 1 is divided into 12 congruent regions, as shown below. What is the perimeter of a single region?
As shown in the diagram below, circle D is internally tangent to circle A and externally tangent to circles B and C.
If circle B has a radius of 2 and C has a radius of 1, what is the radius of circle D?
