题目列表

An office needs to buy circular pizzas for 20 employees. If each pizza is cut into equal slices, and each slice has a central angle of 40°, what is the minimum number of pizzas that need to be ordered so that each employee gets at least two slices of pizza?_____
Triangle ABC is equilateral. If the circle with center A has a diameter of 6, what is the length of the darkened arc?
A circle with center C has a radius of 6

Quantity A

The ratio of the circumference of C to the radius of C

Quantity B

Half the diameter of C

O is the center of the circle above.

Quantity A

Length of line segment AB

Quantity B

Length of line segment CD

A circle of radius 3 is inscribed in a square. What is the product of the perimeter and area of the square?_____
In the figure above, a rectangle is inscribed in a circle. Lengths x and y are both integers such that x + y = 10, and 1 < x < y. Which of the following are possible values for the diameter of the circle?
The height of a right circular cylinder is increased by p percent and the radius is decreased by p percent.

Quantity A

The volume of the cylinder if p = 10

Quantity B

The volume of the cylinder if p = 20

The diameters of the semicircles above are 8, and the diameter of the semicircle on the right is perpendicular to those of the other two semicircles. What is the total area of the shaded region?
Triangle ACE is equilateral with side lengths of 8. Points B and D are the midpoints of line segments AC and CE respectively. Line segment BD is a diameter of the circle with center F. What is the area of the shaded region?

Quantity A

The area of a square with a perimeter of p

Quantity B

The area of a circle with a circumference of p

Line AB passes through the center of circle O and through the centers of each of the 3 identical smaller circles. Each circle touches two other circles at exactly one point each.

Quantity A

The circumference of circle O

Quantity B

The sum of the circumferences of the 3 smaller circles

A square has edges of length 12 inches.

24π

Quantity B

The area of the largest circle that can fit inside the square

A circle with a circumference of 12π is divided into three sectors with areas in a ratio of 3:4:5. What is the area of the largest sector?
A circle is inscribed in a square with area 36. What is the area of the circle?_____
Rectangle WXYZ has a length of 6 and a width of 2. Rectangle AYZB bisects right cylinders ABC and D. If all the cylinders have the same radius, what is the combined volume of the four half-cylinders?
Inscribed square ABCD has a side length of 4. What is the area of the circle?
If the diameter of circle A is eight times that of circle B, what is the ratio of the area of circle A to the area of circle B?
On a rectangular coordinate plane, a circle centered at (0, 0) is inscribed within a square with adjacent vertices at (0, -$\sqrt2$) and ($\sqrt2$, 0). What is the area of the region, rounded to the nearest tenth, that is inside the square but outside the circle?_____
Line segment AC is tangent to the circle with center O and CO = 5.

Quantity A

Circumference of the circle

Quantity B

10π

The area of Circle A is increased by a factor of x to create Circle B.The area of Circle B is increased by a factor of x to create Circle C.

Quantity A

The ratio of the radius of Circle A to the radius of Circle C

Quantity B

$\frac{1}{x}$

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