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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?
A bicycle is traveling at a constant rate such that the wheels rotate 72 degrees per 0.1 second. If each wheel of the bicycle has a diameter of 26 inches, how many inches does the bicycle travel in 2 seconds?
The circumference of a certain circular region is y.

Quantity A

The area of the circular region

Quantity B

$$\frac{y^{2}}{4}$$




The figure shows a window that is in the shape of a rectangle with a semicircle at the top. The radius of the semicircle is x feet, and the perimeter of the window is 26 feet. What is the total area, in square feet, of the window in terms of x?


A certain closed curve consists of n semicircles having the same radius of $$\frac{r}{n}$$ together with a larger semicircle having a radius of r. The n semicircles are aligned along the diameter of the larger semicircle as indicated in the figure for n=7. The area of the region enclosed by the curve, in terms of n, and r, is which of the following?


The area of the shaded semicircular region is 64π.

Quantity A

The length of radius OR

Quantity B

10




In the figure above. O is the center of the circle. If minor arc AB has length 2π, what is the area of triangular region AOB?


The outline of a tyre can be roughly seen as two concentric circles. The radius of the larger circle is 8, while the radius of the smaller circle is 6. If the tyre revolve clockwise so that point y on the larger circle travels by d, then how long will a point x on the smaller circle travel?


The figure shows square ABCD inscribed in a circle. What is the ratio of arc ABC to the sum of lengths of line segments AB, BD and CD?


A pendulum 36 inches long swings through an angle of x degrees, and its pointed end travels through a distance of 41 inches before swinging back again, as shown in the figure. Which of the following is closest to the value of x?


In the above two concentric circles, the radius of the outside circle is twice as many as that of the inner one. Line segment BC is tangent to the inner circle. What is the central angle corresponding to arc ACB?


The radius of each of the three sectors shown above is 2. What is the total area of the three sectors?


In the figure, ARD is an arc of a circle centered at point O, ABCD is a rectangle, and CD=$$\frac{a}{2}$$ . What is the area of the shaded region?


The circle, with a radius of 2, is equally divided by two perpendicular diameters as shown above. What is the area of the shaded area?
In the circle below, the center lies in point O, and AOB is a right-angled isosceles triangle.



Quantity A

The area of the triangular region AOB

Quantity B

Twice the area of the shaded area




The figure represents the shape of a certain swimming pool. If PQS and PRS are arcs of two circles, each of radius 3 meters, and the center of each circle is on the circumference of the other, what is the perimeter in meters, of the swimming pool?


The above two circles both have a radius of 5, and both pass through the center of the other circle.

Quantity A

The area of the shaded region

Quantity B

50π


The length of each side of a cubic box is 10.

Quantity A

The greatest possible number of identical spheres (whose diameter is 1) that can be put into the box

Quantity B

1000




The figure above shows a circle with center O. If the measure of angle ADC is 36 degrees and the length of arc ABC is 28, what is the circumference of the circle?


If O is the center of the circle, x=50, AC=BC, then what is the angle of ∠OBC?

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