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Circle O has a circumference of 36π cm. What is the length of the radius, r? |
18 cm |
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Consider circle Y with radius 3 m and central angle XYZ measuring 70°. What is the approximate length of minor arc XZ? Round to the nearest tenth of a meter. |
3.7 meters |
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Point G is the center of the small circle. Point X is the center of the large circle. Points G, Y, and X are all on line segment GX. Marco wants to create a new circle using GX as a radius. What will be the area of Marco’s new circle? |
676 |
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What is the area of the sector that is not shaded? |
120 |
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Line segment ON is perpendicular to line segment ML. What is the length of segment NP? |
2 units |
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Line segments MP and ML are perpendicular chords in circle O. MP = 10 and ML = 24. Which statements about circle O are true? Check all that apply. |
The radius of circle O is 13. LP is a diameter of circle O. ∠LMP intercepts a semicircle. |
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A Ferris wheel has a diameter of 42 feet. It rotates 3 times per minute. Approximately how far will a passenger travel during a 5-minute ride? |
1,978 feet |
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The measure of central angle ABC is π/2 radians. What is the area of the shaded sector? |
9 |
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In circle P, diameter QS measures 20 centimeters. What is the approximate length of arc QR? Round to the nearest tenth of a centimeter. |
9.9 centimeters |
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Angle D is a circumscribed angle of circle O. What is the perimeter of kite OBDE? |
27 units |
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Angle BCD is a circumscribed angle of circle A. What is the measure of angle BCD? |
74 |
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In circle C, r = 32 units. What is the area of circle C? |
1024 |
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Arc CD is 2/3 of the circumference of a circle. What is the radian measure of the central angle? |
4π/3 radians |
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An arc on a circle measures 125°. The measure of the central angle, in radians, is within which range? |
π/2 to π radians |
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Points A, B, C, and D lie on circle M. Line segment BD is a diameter. What is the measure of angle ACD? |
67.5° |
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The measure of central angle RST is radians. What is the area of the shaded sector? |
8 |
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Points N, P, and R all lie on circle O. Arc PR measures 120°. How does the measure of angle RNQ relate to the measure of arc PR? |
Angle RNQ is equal in measure to arc PR. |
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Circle O has a circumference of approximately 250π ft. What is the approximate length of the diameter, d? |
250 ft |
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In circle G, r = 3 units. Maria draws a circle with double the area of circle G. What is the area of Maria’s circle? |
18 |
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In each circle below, a 50° angle with a vertex at the center of the circle is drawn. How are minor arc lengths CD and EF related? |
The arc lengths are proportional: CD = 4EF |
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Which statements are true regarding the area of circle D? Check all that apply. |
The area of the circle depends on the square of the radius. The area of circle D is 324. |
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The diagram shows one way to develop the formula for the area of a circle. Pieces of a circle with radius r are rearranged to create a shape that resembles a parallelogram. Since the circumference of the circle can be represented by 2πr, and the area of a parallelogram is determined using A = bh, which represents the approximate area of the parallelogram-like figure? |
A = (2πr)(r) |
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Major arc JL measures 300°. Which describes triangle JLM? |
equilateral |
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Arc CD is 1/4 of the circumference of a circle. What is the radian measure of the central angle? |
π/2 |
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Two circles are shown in the diagram. Since all circles are similar, a proportion can be set up using the circumference and diameter of each circle. Substitute the values d1 = 1, C1 = π, and d2 = 2r into the proportion. Which shows how to correctly solve for C2, the circumference of any circle with radius r? |
Because π/1 = C2/2r, C2 = 2πr |
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