More Trig - Radian Measure and Arc Length Warm-up Learning Objective: To convert from degree measure to radian measure and vice versa and to find arc length.

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More Trig - Radian Measure and Arc Length Warm-up Learning Objective: To convert from degree measure to radian measure and vice versa and to find arc length

1 full revolution is 360º 180º= = NOTES Circumference of a circle… So…1º= 180 and 1 radian= Conversion ratio!! Ex 1 – Convert to radians Learning Objective: To convert from degree measure to radian measure and vice versa and to find arc length Circumference of unit circle… Radians - The measure of an angle equal to the length of the arc on the unit circle that it intercepts

Ex 2 - Convert to degrees If there’s no, use calc! Ex 3 - Evaluate. Give exact values.

Learning Objective: To convert from degree measure to radian measure and vice versa and to find arc length Arc Length - distance around a portion of a circle arc length radius central angle measure MUST be in radians!!! Ex 3: Find the length of the arc of a circle with radius 24 inches subtended (intersected) by a central angle of 5π/4 radians

HW – Out - Convert 315º to radians. Summary - Choose one: Now I understand… or I’m not sure about…