angle and radian measures · angles and radian measures objectives: •recognize and use the...
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Angle and Radian Measures
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Angles and Radian Measures
Objectives:• Recognize and use the vocabulary of angles.• Use degree measure.• Use radian measure.• Convert between degrees and radians.• Draw angles in standard position.• Find coterminal angles.• Find the length of a circular arc.• Use linear and angular speed to describe motion on a circular path.
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Convert each angle in degrees to radians:
a. 60°
b. 270°
c. –300°
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Although we can convert angles in radians to degrees, it is helpful to think in radians without having to make the actual conversion.
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Assume the following angles are in standard position. Find a positive angle less than 360° that is coterminal with each of the following:a. 400° angle
b. –135° angle
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Long before iPods that hold thousands of songs and play them with superb audio quality, individual songs were delivered on 75rpm and 45rpm circular records. A 45rpm record has an angular speed of 45 revolutions per minute. Find the linear speed, in inches per minute, at the point where the needle is 1.5 inches from the record’s center.
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Due 1/11
Larson Book
Page 255
Vocab Check all
228 even, 3264 even, 7888 even, 99101
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