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3.4 Radian Measure of Angles

3.4 Radian Measure of Angles. Lesson Objective: IWBAT convert from radians to degrees and back & recognize the most popular radian measures. Guiding Question: What is the difference between radians and degrees?. Radians measure a distance in terms of . Degrees measure the angles.

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3.4 Radian Measure of Angles

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  1. 3.4 Radian Measure of Angles Lesson Objective: IWBAT convert from radians to degrees and back & recognize the most popular radian measures.

  2. Guiding Question: What is the difference between radians and degrees? Radians measure a distance in terms of Degrees measure the angles • How do you find the circumference of a circle? • What if the radius was 1 like in the unit circle?

  3. Guiding Question: What is the difference between radians and degrees? • It helps to think about radians as the distance moved on a unit circle. • On the unit circle we have a radius of 1 so we are mostly measuring the distance traveled.

  4. Guiding Question: What is the difference between radians and degrees? • If a satellite is orbiting the earth do we measure its speed in miles per hour or degrees per hour? • Radians allow us to measure the miles per hour of a rotation By comparison • What is the degree measure of a circle? • What is the radian measure of a circle? • Can you compare the 2?

  5. Guiding Question: What is the difference between radians and degrees?

  6. Guiding Question: What is the difference between radians and degrees? • Converting • To find the radian measure of a degree multiply by • To find the degree measure of radian, multiply by

  7. Guiding Question: What is the difference between radians and degrees?

  8. Guiding Question: What is the difference between radians and degrees? Pg. 116 3-43 odd Day 2, Pg. 116 2-42 every 4th, 45, 47, 51-54

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