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ABCD is a square, what is the area of the shaded region?
The length of each side of quadrilateral ABCD is 5.

Quantity A

The length of diagonal AC

Quantity B

5




ABCD is a square and CEFD is a rhombus.

Quantity A

The area of ABCD

Quantity B

The area of CEFD


Quantity A

The ratio of the longer diagonal to the shorter diagonal in a parallelogram whose four sides are the same

Quantity B

2




A tank in the shape of a right circular cylinder is enclosed by walls and fencing. The figure shows a horizontal cross section of the tank and the enclosure, where the circle representing the tank is tangent to each of the four line segments representing the sides of the enclosure. The lengths of the fencing represented by line segments AD and CD are 17.5 meters and 14.5 meters, respectively, and the length of the wall represented by line segment BC is 7 meters. Approximately what is the circumference of the tank in meters?


The bottom of the figure is 13 feet

What is the area of the above figure?

_____ square feet


What is the area of the shaded area as shown above?


The two circles in the figure above both have center O. The square is inscribed in the larger circle and circumscribed about the smaller circle. If x is the radius of the larger circle, what is the radius of the smaller circle, in terms of x?
There is a circle inscribed in the big square, and a smaller square inscribed in the circle. Giving that the side length of the big square is $$\sqrt{2}$$, what is the side length of the small square?


As shown in the figure, a square and a rectangle are inscribed in a circle. If one side length of the square is 4, and one side of the rectangle has length 5. What is the area of the rectangle?


Triangle ABC is inscribed in the circle.

Quantity A

The radius of the circle

Quantity B

The length of AC




Quantity A

$$\frac{y}{x}$$

Quantity B

$$\frac{x+y}{2}$$




In the circle shown above, the radius is 4. ABC is an isosceles triangle, CD is perpendicular to AB, what is the length of AB?
Circle X and circle Y have the same area. The radius of circle A is twice the radius of circle X. The diameter of circle B is 75 percent greater than the diameter of circle Y.

Quantity A

The area of circle A

Quantity B

The area of circle B


In the ceiling of a room, an opening was cut in the shape of a square with sides that are 1 foot in length. A circular fixture will be placed over the opening. If the circular fixture covers the square opening completely, which of the following could be the diameter of the circular fixture. in inches? (Note: 1 foot = 12 inches)

Indicate all such diameters.
A square is inscribed in a circle which has a radius of 3

Quantity A

The area of the square

Quantity B

20


Between two concentric circles, one with radius r and another with radius (r+2)

Quantity A

The area of the smaller circle with radius r

Quantity B

The area of the region between these two concentric circles




The center of each of the five circles is point O. The radii of the five circles, from smallest to largest, are r, 2r, 3r, 4r, and 5r, respectively.

Quantity A

The area of the shaded region

Quantity B

The area of the striped region




The centers of the five smaller circles all lie on segment AB, which is a diameter of the largest circle, and each circle is tangent to two of the other circles.

Quantity A

The circumference of the largest circle

Quantity B

The sum of the circumferences of the five smaller circles




两个转轮绕一个传送带,转轮半径4,顺时针转速26圈/分钟,传送带从A到B传送距离2600,问一个物品放在左边转轮圆心正上方,传送到右边转轮圆心正上方,需要花多长时间?

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