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Mastering Reference Angles and Quadrants in Radians

Authored by Anthony Clark

English

10th Grade

CCSS covered

Mastering Reference Angles and Quadrants in Radians
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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A clock shows the time as 3:00. What is the reference angle in radians for the angle formed by the hour and minute hands?

2.3562

0.7854

3.1416

1.5708

Tags

CCSS.HSF.TF.A.1

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

An angle of 150 degrees is in which quadrant? What is its reference angle in radians?

Fourth quadrant, reference angle: π/2 radians

Third quadrant, reference angle: π/4 radians

First quadrant, reference angle: π/3 radians

Second quadrant, reference angle: π/6 radians

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A skateboarder performs a trick that requires them to rotate 240 degrees. What is the reference angle in radians and which quadrant does it lie in?

4π/3 radians, second quadrant

5π/3 radians, fourth quadrant

2π/3 radians, third quadrant

π/3 radians, first quadrant

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A Ferris wheel rotates 300 degrees from the starting point. What is the reference angle in radians and which quadrant does it fall into?

3π/4 radians, Third quadrant

2π/3 radians, Fourth quadrant

π/3 radians, First quadrant

5π/6 radians, Second quadrant

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A soccer player kicks the ball at an angle of 135 degrees. Determine the reference angle in radians and identify the quadrant.

2π/3 radians, Third quadrant

π/3 radians, First quadrant

π/6 radians, Fourth quadrant

π/4 radians, Second quadrant

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A cyclist travels in a circular path and turns 225 degrees. What is the reference angle in radians and which quadrant is this angle located in?

π/3 radians, first quadrant

π/4 radians, third quadrant

3π/4 radians, fourth quadrant

π/2 radians, second quadrant

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

An artist paints a mural that includes an angle of 330 degrees. What is the reference angle in radians and which quadrant does it belong to?

π/3 radians, first quadrant

5π/6 radians, third quadrant

π/6 radians, fourth quadrant

π/4 radians, second quadrant

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