Circles- Part 2 Unit Test 100%

Circle O has a circumference of 36π cm.

What is the length of the radius, r?

18 cm

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

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

What is the area of the sector that is not shaded?

120

Line segment ON is perpendicular to line segment ML.

What is the length of segment NP?

2 units

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.

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

The measure of central angle ABC is π/2 radians.

What is the area of the shaded sector?

9

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

Angle D is a circumscribed angle of circle O.

What is the perimeter of kite OBDE?

27 units

Angle BCD is a circumscribed angle of circle A.

What is the measure of angle BCD?

74

In circle C, r = 32 units.

What is the area of circle C?

1024

Arc CD is 2/3 of the circumference of a circle. What is the radian measure of the central angle?

4π/3 radians

An arc on a circle measures 125°. The measure of the central angle, in radians, is within which range?

π/2 to π radians

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°

The measure of central angle RST is radians.

What is the area of the shaded sector?

8

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.

Circle O has a circumference of approximately 250π ft.

What is the approximate length of the diameter, d?

250 ft

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

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

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.

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)

Major arc JL measures 300°.

Which describes triangle JLM?

equilateral

Arc CD is 1/4 of the circumference of a circle. What is the radian measure of the central angle?

π/2

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

Circles- Part 2 Unit Test 100% - Subjecto.com

Circles- Part 2 Unit Test 100%

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Circle O has a circumference of 36π cm.

What is the length of the radius, r?

18 cm

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

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

What is the area of the sector that is not shaded?

120

Line segment ON is perpendicular to line segment ML.

What is the length of segment NP?

2 units

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.

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

The measure of central angle ABC is π/2 radians.

What is the area of the shaded sector?

9

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

Angle D is a circumscribed angle of circle O.

What is the perimeter of kite OBDE?

27 units

Angle BCD is a circumscribed angle of circle A.

What is the measure of angle BCD?

74

In circle C, r = 32 units.

What is the area of circle C?

1024

Arc CD is 2/3 of the circumference of a circle. What is the radian measure of the central angle?

4π/3 radians

An arc on a circle measures 125°. The measure of the central angle, in radians, is within which range?

π/2 to π radians

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°

The measure of central angle RST is radians.

What is the area of the shaded sector?

8

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.

Circle O has a circumference of approximately 250π ft.

What is the approximate length of the diameter, d?

250 ft

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

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

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.

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)

Major arc JL measures 300°.

Which describes triangle JLM?

equilateral

Arc CD is 1/4 of the circumference of a circle. What is the radian measure of the central angle?

π/2

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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