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Concept Questions

Concept Questions . Section 4.1. Checking in…. Do you all have any questions?. In-Class Find co-terminal angles. Find the length of a circular arc. Use linear and angular speed to describe motion on a circular path. Two angles with the same initial and terminal sides but

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Concept Questions

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  1. Concept Questions Section 4.1

  2. Checking in… Do you all have any questions?

  3. In-Class • Find co-terminal angles. • Find the length of a circular arc. • Use linear and angular speed to describe motion on a circular path.

  4. Two angles with the same initial and terminal sides but possibly different rotations are called co-terminal angles.

  5. Assume the following angles are in standard position. Find a positive angle less than 360° that is co-terminal with each of the following: • a. 400° angle • 400° – 360° = 40° • b. –135° angle • –135° + 360° = 225°

  6. Assume the following angles are in standard position. Find a positive angle less than 2 pi that is co-terminal with each of the following: • a. angle • b. angle

  7. Radian measure

  8. A central angle, in a circle of radius 12 feet intercepts an arc of length 42 feet. What is the radian measure of • = 3.5 radians

  9. A circle has a radius of 6 inches. Find the length of the arc intercepted by a central angle of 45°. Express arc length in terms of Then round your answer to two decimal places. • We first convert 45° to radians:

  10. Long before iPods that hold thousands of songs and play them with superb audio quality, individual songs were delivered on 75-rpm and 45-rpm circular records. A 45-rpm 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. • Before applying the formula we must express in terms of radians per second:

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