Answers SS4 PGCPS ALGEBRA 2 OC SUMMER 2027 - 793033The Unit Circle

Unit Test Answers

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What is the approximate length of arc s on the circle below? Use 3.14 for . Round your answer to the nearest tenth.

14.1 in.

22.5 in.

42.3 in.

56.5 in.

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An arc of length 8 in. is intersected by a central angle in a circle with a radius of 3 in. What is the measure of the angle? Round your answer to the nearest tenth.

0.4 radian

1.0 radian

2.7 radians

5.0 radians

Angle D has a measure between 0° and 360° and is coterminal with a –920° angle. What is the measure of angle D?

155°

160°

165°

170°

An angle measuring (468n)° is in standard position. For which value of n will the terminal side fall on the x-axis?

n = 4

n = 5

n = 6

n = 7

Which of the following best explains the value of on the unit circle below?

The length opposite the angle is the vertical distance from the x-axis on the graph.

The length adjacent to the angle is the vertical distance from the x-axis on the graph.

The length opposite the angle is the horizontal distance from the y-axis on the graph.

The length adjacent to the angle is the horizontal distance from the y-axis on the graph.

What are the values of m and in the diagram below?

Which of the following is true of the location of an angle, , whose tangent value is ?

has a 30-degree reference angle and is located in Quadrant II or IV

has a 30-degree reference angle and is located in Quadrant II or III

has a 60-degree reference angle and is located in Quadrant II or IV

has a 60-degree reference angle and is located in Quadrant II or III

The angle measures associated with which set of ordered pairs share the same reference angle?

(Negative StartFraction StartRoot 3 EndRoot Over 2 EndFraction , negative one-half), (negative one-half, Negative StartFraction StartRoot 3 EndRoot Over 2 EndFraction)

(one-half, Negative StartFraction StartRoot 3 EndRoot Over 2 EndFraction), (Negative StartFraction StartRoot 3 EndRoot Over 2 EndFraction, one-half)

(Negative one-half, negative StartFraction StartRoot 3 EndRoot Over 2 EndFraction), (One-half, StartFraction StartRoot 3 EndRoot Over 2 EndFraction)

(StartFraction StartRoot 3 EndRoot Over 2 EndFraction, one-half), (one-half, StartFraction StartRoot 3 EndRoot Over 2 EndFraction)

Which of the following are in the correct order from least to greatest?

, , 80°, , 38°

38°, 80°, , ,

38°, , 80°, ,

, 38°, 80°, ,

What is 270° converted to radians?

StartFraction pi Over 6 EndFraction

StartFraction 3 Over 2 EndFraction

StartFraction 3 pi Over 2 EndFraction

Which of the following could be the measure of the angle below?

–180°

–120°

140°

510°

Which of the following represents the measures of all angles coterminal with a 418° angle?

360 + 58n, for any whole number n

58 + 360n, for any integer n

58 + 360n, for any whole number n

360 + 58n, for any integer n

Which expression is equivalent to ?

sine StartFraction pi Over 6 EndFraction

sine StartFraction 5 pi over 3 EndFraction

sine StartFraction 11 pi Over 6 EndFraction

What is the value of in the diagram below?

Three-fifths

Three-fourths

Four-fifths

Four-thirds

Which measure is of an angle that is coterminal with a 135° angle?

45°

90°

495°

585°

A circle has a radius of 5 ft, and an arc of length 7 ft is made by the intersection of the circle with a central angle. Which equation gives the measure of the central angle, q?

Theta= five-sevenths

Theta = Seven-fifths

Theta = 7 + 5

Theta = 7 times 5

Which expression converts 8 radians to degrees?

8 times pi

8 times StartFraction pi Over 180 degrees EndFraction

8 times 180 degrees

8 times StartFraction 180 degrees Over pi EndFraction

How long is the arc intersected by a central angle of radians in a circle with a radius of 4.5 cm? Round your answer to the nearest tenth. Use 3.14 for .