1. 11–8A – Define Radian Measure
Worksheet Key 1)
1/2 2)
–1/2 3) –1 4)
√2/2 5) 6)
–√3/2 7)
–√3/3 8) 1 9)
10)
Undefined
11)
12)
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11–8A – Define Radian Measure

2. 11–8A – Define Radian Measure
Section 11–8A
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11–8A – Define Radian Measure

3. 11–8A – Define Radian Measure
Degree measure is a unit of application such as surveying and navigation
Radian measure is a unit of measure for theoretical work in mathematics. Before angles, they measured in Radian Measure
One radian is the measure of an angle in standard position whose terminal side intercepts an arc of length, r.
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11–8A – Define Radian Measure

4. 11–8A – Define Radian Measure
Conversion Equations
To convert degrees to radians, multiply π/180°
To convert radians to degrees, multiply 180°/π
180° = π Radian
1° = π/180 Radian
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11–8A – Define Radian Measure

5. 11–8A – Define Radian Measure
Question
Remember the equation of a Circumference of a Circle?
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11–8A – Define Radian Measure

6. 11–8A – Define Radian Measure
Example 1
Convert 360° into radian measure
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11–8A – Define Radian Measure

7. 11–8A – Define Radian Measure
Example 2
Convert 240° into radian measure
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11–8A – Define Radian Measure

8. 11–8A – Define Radian Measure
Example 3
Convert –90° into radian measure
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11–8A – Define Radian Measure

9. 11–8A – Define Radian Measure
Your Turn
Convert 2° into radian measure
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11–8A – Define Radian Measure

10. 11–8A – Define Radian Measure
Example 4
Convert 2 into degree measure
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11–8A – Define Radian Measure

11. 11–8A – Define Radian Measure
Example 5
Convert 9π/2 into degree measure
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11–8A – Define Radian Measure

12. 11–8A – Define Radian Measure
Example 6
Convert π into degree measure
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11–8A – Define Radian Measure

13. 11–8A – Define Radian Measure
Your Turn
Convert 5π/4 into degree measure
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11–8A – Define Radian Measure

14. 11–8A – Define Radian Measure
Assignment
Worksheet
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11–8A – Define Radian Measure