Download Radians to Degrees.notebook

Radians to Degrees.notebook
13.3 Degrees to Radians
April 18, 2014
So far, you have measured angles in degrees. You can also measure angles in radians.
A radian is a unit of angle measure based on arc length. Recall from geometry that an arc is an unbroken part of a circle. If a central angle θ in a circle of radius r, intercepts an arc of length r, then the measure of θ is defined as 1 radian.
Goal: Covert degree to radians and radians to degrees.
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The circumference of a circle of radius r is 2πr. Therefore, an angle representing one complete clockwise rotation measures 2π radians. You can use the fact that 2π radians is equivalent to 360° to convert between radians and degrees.
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To convert 60 degrees into radians:
Step 1: Set up the multiplication using the conversion factor.
To convert radians into degrees:
Step 2: Reduce your fraction.
Step 1: Set up the multiplication using the conversion factor.
Step 3: Multiply. Step 2: Reduce your fraction.
Step 3: Multiply. Apr 6­9:42 AM
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Radians to Degrees.notebook
April 18, 2014
Convert the following:
Convert the following:
2. – 225°
1. 80°
3. 4. Apr 13­12:33 PM
5. 6. 7. 8. radians
radians
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Assignment:
Worksheet
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