Radian and Degree Measure

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4.1

• Radian and Degree Measure

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Quick Review

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Quick Review Solutions

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What youll learn about

• The Problem of Angular Measure
• How to use Degree and Radian measure
• Circular Arc Length
• Angular and Linear Motion
• and why
• Angles are the domain elements of the
  trigonometric functions.

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Trigonometric Functions
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Why 360º?
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Radian

• A central angle of a circle has measure 1
  radian if it intercepts an arc with the same
  length as the radius.

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Degree-Radian Conversion

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Example Working with Radian Measure

• How many radians are in 60 degrees?

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Example Working with Radian Measure

• How many radians are in 60 degrees?

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Arc Length Formula (Radian Measure)

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Arc Length Formula (Degree Measure)

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Example Perimeter of a Pizza Slice

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Example Perimeter of a Pizza Slice

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Angular and Linear Motion

• Angular speed is measured in units like
  revolutions per minute.
• Linear speed is measured in units like miles per
  hour.

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Nautical Mile

• A nautical mile (naut mi) is the length of 1
  minute of arc along Earths equator.

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Distance Conversions