The two circles with radii r and s have common tangents of AB and PQ. The length of PQ is 14 units and the length of AB is 16 units. What is the value of rs ?
In the figure if AC is a common tangent of two touching circles. If B is the touching point of both circles then which is of the following is true about it and why...
In the figure AC is a common tangent of two touching circles. If B is touching point of both circles then find angle B.
Three congruent circles are pairwise tangent and each has a radius equal to 2. A circle circumscribes the three circles. Calculate the total area shaded in blue. The blue region is comprised of two parts. One region is the three circular sectors of the small circles enclosed by the line segments connecting the three small circle’s centers. The other region is outside the three small circles and bound by the large circumscribing circle (exclude the area in between the three small circles).
Three spheres are tangent to a plane at the vertices of a triangle and are tangent to each other. Find the radii of the spheres if the sides of the triangle are 6, 8, and 10.
