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Lesson Radian Measure

Lesson Radian Measure

Assessment

Presentation

•

Mathematics

•

10th Grade

•

Practice Problem

•

Hard

Created by

David Clay

Used 29+ times

FREE Resource

13 Slides • 0 Questions

1

Lesson Radian Measure

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2

We know that a circle is 360 degrees

How about measuring it in radians

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3

The symbol  Pi

  • represented as a decimal is 3.14

  • represented as an angle measure = 180 degrees

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4

Radian (PI) measure 

  • circle 1 - 90 degress

  • circle 2 - 180 degrees

  • circle 3 - 270 degrees

  • circle 4 - 360 degrees

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5

Slices of PI (PIe)

  • If you like Pie than Radian measure is for U!

  • Each quadrant is half of the Pi

  • Half the circle is one Pi

  • The whole circle is then 2 Pi

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6

Fractions of Pi (180 degrees)

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7

Converting degrees to radians

  • Going from degrees to Pi

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8

Step 1 - Multiply by Pi Equivalent

  • use ratio of Pi over 180 degrees

  • Then reduce the fraction to lowest terms

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9

Step 2 - Simplify the fraction (lowest terms)

  • You have your answers!

  • its that easy

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10

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Example 1

11

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Example 2

12

Finding coterminal angles in radians

Remember we added/subtracted 360 degrees
So now we simply add/subtract 2 Pi

13

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Example - Coterminal Angles

pattern-tertiary

Lesson Radian Measure

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