Module 6.1 Radian and Degree Measure

Radians and Degrees are both ways to measure angles  Converting from Degrees to Radians:  Multiply by π/180  Reduce  Convert from Radians to Degrees:  Multiply by 180/π  Simplify and Reduce

Co-Terminal Angles  Co-Terminal Angles are an angles that are have the same ending point on a unit circle.  They are separated by either 360˚ or 2π  To find co-terminal angles:  Add or subtract 360˚ or 2π

Reference Angles  Reference angles are a measurement of how far an angle is from the x-axis.  To find reference angles:  If the original angle is not between 0-360˚ or 0-2π  Find a co-terminal angle between 0-360˚ or 0-2π  If the angle is in quadrant 1: The angle is the reference angle  If the angle is in quadrant 2: Subtract from 180˚ or π  If the angle is in quadrant 3: Subtract 180˚ or π  If the angle is in quadrant 4: Subtract from 360˚ or 2π

Arc Length and Area of a Sector

Linear and Angular Velocity  Angular Displacement or Angle of Rotation:  Multiply revolutions by 2π  Angular Velocity: ω(angular velocity) = θ(angle measure in radians) / t(time)  Multiply revolutions by 2π to find radian measurement  Plug into formula  Simplify  Linear Velocity: V = r(radius) x ω [θ (angle measure in radians) / t (time)]  Multiply revolutions by 2π to find radian measurement  Plug into formula  Simplify