16.2 Arc Length and Radian Measure

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Presentation transcript:

16.2 Arc Length and Radian Measure

Arc Length- understood to be the distance along a circular arc measured in linear units (such as feet or centimeters)

Formula Sheet gives: 1 degree = _∏__ radians 180° How to convert to radian measure? Formula Sheet gives: 1 degree = _∏__ radians 180° 1 radian = 180° degrees ∏ Radian- a unit of angle measure based on arc length. In a circle of radius r, if a central angle has a measure of 1 radian, then the length of the intercepted arc is r units. 2∏ radians = 360° 1 radian ≈ 57°

1. Convert 180° to radian measure.

3.Convert ∏ to degrees. 4 4.Convert 2∏ to degrees. 3

page 868-870 5-8, 13-19 5. 31.4 6. 6.3 7. 5.8 8. 13.1 13. 2∏/9 14. 4∏/9 15. 5∏/9 16. ∏/15 17. 0, ∏/6, ∏/4, ∏/3, ∏/2, 2∏/3, 3∏/4, 5∏/6, ∏ 18. 112.5° 19. 160°