Geometry

A point on the edge of a fan blade that is rotating in a plane is 10 centimeters from the center of the fan. WHat is the distance traveled, in centimeters, by this point in 15 seconds when the fan runs at the rate of 300 revolutions per minutes?

If the area of a square region having sides of length 6 centimeters is equal to the area of a rectangular region having width 2.5 centimeters, then the length of the rectangle, in centimeters, is

What is the combined area, in square inches, of the front and back of a rectangular sheet of paper measuring 8.5 inches by 11 inches?

Note: Figure not drawn to scale. In the figure above, the value of y is

In the figure above, if AB||CE, CE = DE, and y = 45, then x =

In the circle above, PQ is parallel to diameter OR, and OR has length 18. What is the length of minor arc PQ?

The shaded region in the figure above represents a rectangular frame with length 18 inches and width 15 inches. The frame encloses a rectangular picture that has the same area as the frame itself. If the length and width of the picture have the same ratio as the lenght and width of the frame, what is the length of the picture, in inches?

A rectangular circuit board is designed to have width w inches, perimeter p inches, and area k square inches. Which of the following equations must be true?

In the circular region with center 0, shown above, the two unshaded sections comprise 3 7 and 1 3 of the area of the circular region. The shaded section comprises what fractional part of the area of the circular region?

If 3 and 8 are the lengths of two sides of a triangular region, which of the following can be the length of the third side? I. 5 II. 8 III. 11

If 60 percent of a rectangular floor is covered by a rectangular rug that is 9 feet by 12 feet, what is the area, in square feet, of the floor?

Coins are dropped into a toll box so that the box is being filled at the rate of approximately 2 cubic feet per hour. If the empty rectangular box is 4 feet long, 4 feet wide, and 3 feet deep, approximately how many hours does it take to fill the box?

Bills' school is 10 miles from his home. He travels 4 miles from school to football practice, and then 2 miles to friend's house. If he is then x miles from home, what is the range of possible values for x?

Starting from town S, Fred rode his bicycle 8 miles due east, 3 miles due south, 2 miles due west and 11 miles due north, finally stopping at town T. if the entire region is flat. What is the straight line distance in miles between Town S and T?

If the length and width of a rectangular garden plot were each increased by 20 percent, what would be the percent increase in the area of the plot?

Which of the following lists the number of points at which a circle can intersect a triangle?

A circular rim 28 inches in diameter rotates the same number of inches per second as a circular rim 35 inches in diameter. If the smaller rim makes x revolutions per second, how many revolutions per minute does the larger rim makes in terms of x ?

If the perimeter of a rectangular garden plot is 34 feet and its area is 60 square feet, what is the length of each of the longer sides?

In square ABCD above, if DE = EB and DF = FC, then the area of the shaded region is what fraction of the area of square region ABCD?

If each of the two lines L1 and L2 is parallel to line L3, which of the following must be true?