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Chapter 4: Lesson 4.1 Radian & Degrees
Vocabulary (page 262) Vertex Initial Side Terminal Side Standard Position Angles are measured in either degrees or radians. Positive vs. Negative Angles Coterminal Angles
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Definition of a Radian Measure
Vocabulary (p. 263) Central Angle Arc Length Definition of a Radian Measure Where = measure of the angle in radians s = arc length r = radius How many radians are in 1 revolution or 360º?
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Quadrant II Quadrant I Quadrant III Quadrant IV
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To convert an angle measured in degrees to radians,
multiply the angle in degrees by To convert an angle measured in radians to degrees, multiply the angle in radians by
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Convert each degree measure to radians and then give 2 coterminal angles in radians (1 positive and 1 negative). 180º 90º 45º 30º 60º 150º 210º 135º 315º 120º
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Find the complement and supplement of each angle in radians.
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Angle Measures in Degrees-Minutes-Seconds
Convert º to degrees-minutes and seconds. Convert 35º 23’ 46” to a decimal degree.
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Finding an Arc Length of a Circle
Finding an Area of a Sector of a Circle
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#64 A carousel with a 50-foot diameter makes 4 revolutions per minute.
Find the angular speed of the carousel in radians per minute. b) Find the linear speed (in feet per second).
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