As shown in the figure above, a worker uses a cylindrical roller to help pave a road. The roller has a radius of 9 inches and a width of 42 inches. To the nearest square inch, what is the area of the roller covers in one complete rotation?

If a sector of a circle has an arc length of 2pi inches and an area of 6pi square inches, what is the length of the radius of the circle?

If the area of the triangle shown above is 12 squares inches, what is the value of cosz?

A trapezoid has parallel bases that measure 3 inches and 9 inches and a height that measures 6 inches . What is the area, in square inches , of the trapezoid ?

A circle has a radius that is the same length as the sides of a square , if the square has a perimeter of 64 square inches , what is the area , in square inches , of the circle ?

The figure above shows a regular hexagon with sides of length a and a square with sides of length a. If the area of the hexagon is 384 sqrt(3) square inches, what is the area, in square inches, of the square?

Ken baked, frosted, and decorated a rectangular cake for the last Math Club meeting. The cake was 3 inches high, 12 inches wide, and 16 inches long. He centrated the cake on a piece of carboard whose rectangular top surface had been covered with aluminum foil, as shown in the figure below. Ken used a piece of cardboard large enough to allow the cardboard to extend 2 inches beyond the cake on all sides. What is the area, in square inches, of the aluminum foil that is exposed on the top surface of the cardboard?

Three circles with radii 1,2 and 3 inches are externally tangent to one another , as shown in the figure above . The area , in square inches , of the sector of the circle of radius 1 that is cut off by the line segments joining the center of that circle to the centers of the other two circles (the shaded area ) is

In the figure above, a rectangular container with the dimensions 10 inches by 15 inches by 20 inches is to be filled with water, using a cylindrical cup whose radius is 2 inches and whose height is 5 inches. What is the maximum number of full cups of water that can be placed into the container without the water overflowing the container?

A table screen has a 12-inch diagonal. If the length of the screen is sqrt3 times longer than the width, what is the area, in square inches, of the screen ?

The amount of light produced by a cylindrical fluorescent light bulb depends on its lateral area. A certain cylindrical fluorescent light bulb is 36 inches long, has a 1 inch diameter, and is manufactured to produce 0.283 wants of light per square inch. What is the best estimate for the total amount of light that it is able to produce?