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Grade 12 Radian Measure Worksheet

This worksheet focuses on understanding and applying radian measure in trigonometry for Grade 12 students.

Grade 12 Math TrigonometryRadian Measure
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Includes

Multiple ChoiceFill in the BlanksShort AnswerTrue / FalseCustom

Standards

CCSS.MATH.CONTENT.HSF.TF.A.1CCSS.MATH.CONTENT.HSF.TF.A.2

Topics

radian measuretrigonometryanglesunit circlegrade 12 math
7 sections · Free to use · Printable
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Radian Measure Assessment

Name:

Date:

Score:

Read each question carefully and answer to the best of your ability. Show all your work where applicable.

1. What is the radian measure equivalent to 180 degrees?

a

π/2 radians

b

π radians

c

2π radians

d

3π/2 radians

2. An angle of 3π/4 radians is equivalent to which degree measure?

a

135°

b

225°

c

315°

d

45°

3. One radian is the angle subtended at the center of a circle by an arc that is equal in length to the   of the circle.

4. To convert degrees to radians, multiply the degree measure by  .

5. Convert 210° to radians. Express your answer in terms of π.

6. Convert 5π/6 radians to degrees.

7. A full circle is 2π radians.

T

True

F

False

8. Consider a circle with a radius of 5 cm. An arc subtends a central angle of 2 radians. Calculate the length of the arc.

5 cm