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The area of the square inscribed in the circle is 196, what is the area of the shaded region? (π≈3.14) Give your answer to the nearest tenths.

In the figure above, a square is inscribed in a circle, if the area of shaded region is 5π, what is the area of the square?

If the length of the semi-circle fence is 20 feet, then what is the area of the fenced region in square feet?

An equilateral triangle PQR is inscribed in a circle. If the length of major arc PQR is 24 π, what is the radius of the circle?

In the sector OAC,∠O=90°, AC=8

Quantity A

The area of the sector OAC

Quantity B

4$$\sqrt{2}$$π



C is the center of the above circle. The length of DE equals to half of the radius of circle, and ∠ACD=90°.

Quantity A

The area of sector ABD with C at the center

Quantity B

The area of ACE



Q is the center of both circles and QA=$$\frac{3}{2}$$QX

Quantity A

The length of arc ABC

Quantity B

The length of arc XYZ



Arc AB is on the circle with center O, ∠AOB=90°

Quantity A

The area of the shaded region

Quantity B

The area of the semi-circle OCB with OB as its diameter



In the figure shown above, the area of the shadow is 12π, the small circle is inscribed in the big circle and pass the center of the big circle, what is the diameter of the small circle?
The length of a clock pendulum is 38, when the angle the pendulum goes is x degree, the length of arc it goes is 41, then what is the value of x?
Give your answer to the nearest tenths.

Four identical semi-circles overlap with a square on four sides, respectively. If the sides of the square is 4, and the entire figure is inscribed in a circle. What is the area of the shaded area?


Square ABCD is inscribed in the circle O and AB=2.

Quantity A

The area of ΔAOB

Quantity B

The area of shaded part



Quadrilateral ABCD is a parallelogram, r=2, and ∠DAB=45, what is the area of the shaded region?
In a xy-plane, the center of circle A is in circle B.
Quantity A: The number of intersects of circle A and B
Quantity B:1

As shown in the figure, there are 5 circles inscribed in a rectangle, each circle has a diameter of 4, and the circles are tangent to each other. What is the area of the rectangle?

Five identical small circles are inscribed in a larger circle, and the sum of the diameters of the 5 small circles equal the diameter of the larger circle.

Quantity A

The circumference of the large circle

Quantity B

The sum of the 5 circumferences of the smaller circle



Triangle ABC is inscribed in a circle,where AB is diameter and the length of AC equals to radius R. What is the degree of ∠ABC?
AC is the diameter of a circle, and D is a point on arc ABC of that circle.

Quantity A

∠DCA

Quantity B

45°



Point A and point B are the centers of two circles, and their radius are 10 and 3 respectively. Point C and point D and the points of tangency of the two circles and a horizontal line. Point E and point F are the intersections between the two circles and line AB, EF=12, what is the length of CD?
The height, width and length ratio of a rectangular solid is 1:2:3, while the surface area of the entire solid is 550. What is the volume of the rectangular solid?

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