Measures of Angles and Rotations. Vocabulary Degrees  360 degrees makes a full circle  270 degrees makes a three quarter circle  180 degrees makes.

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Presentation transcript:

Measures of Angles and Rotations

Vocabulary

Degrees  360 degrees makes a full circle  270 degrees makes a three quarter circle  180 degrees makes a half circle  90 degrees makes a quarter circle

Radians

Revolutions  1 revolution makes a full circle  3 / 4 revolution makes a three quarter circle  1 / 2 revolution makes a half circle  1 / 4 revolution makes a quarter circle

Convert Degrees to Radians

Examples

Convert Radians to Degrees

Examples

Converting Revolutions to Degrees  Given r Revolutions  r x 360  Example  1 / 3  -2 / 3

Converting Degrees to Revolutions  Given d Degrees  d ÷ 360, written as a fraction  Example  36 degrees  80 degrees

Converting Revolutions to Radians

Converting Radians to Revolutions

Review  Degrees to Radians = D/180 x π  Radians to Degrees = r x 180/ π  Revolutions to Degrees = R x 360  Degrees to Revolutions = D / 360  Revolutions to Radians = R x 2π  Radians to Revolutions = r / 2π

In Order  From biggest to smallest: 1 Revolution 1 Radian 1 Degree

Clockwise vs. Counterclockwise  When drawing rotations, start on the x-axis in the positive values (see picture on bottom left of page 236, start at point A)  Clockwise rotates down, negative numbers  Counterclockwise rotates up, positive numbers

Homework  Worksheet 4-1

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