1 / 16

Midterm Exam

Midterm Exam. Would the following students please come to the board and share your methods of solving with solutions:. Trigonometry. Enjoy!. Section 4.1 Angles and their measures. -Convert from degrees to radians and vice versa -Find arc length -Solve problem with angular speed. DMS.

donaldasmith
Download Presentation

Midterm Exam

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Midterm Exam Would the following students please come to the board and share your methods of solving with solutions:

  2. Trigonometry • Enjoy!

  3. Section 4.1 Angles and their measures -Convert from degrees to radians and vice versa -Find arc length -Solve problem with angular speed

  4. DMS DMS stands for Degree-Minutes-Seconds, and is a type of degree measurement where:

  5. Converstions from DMS to degrees and vice versa DMS to Degree Degree to DMS

  6. Your turn. Convert from degrees to DMS Convert from DMS to degrees

  7. What is 1 radian? A central angle of a circle has a measure of 1 radian if it intercepts an arc with the same length as the radius.

  8. Definition of a Radian • the radian measure of the angle is the ratio of the length of the intercepted arc to the radius of the circle where θis a central angle, s is the intercepted arc, and r is the radius

  9. Finding a conversion factor At 360 degrees the radian measure would be the ratio of the circumference to the radius

  10. So our conversion factors are: • From radians to degrees • From degrees to radians

  11. Try these • How many radians are in 120°? • Convert π/6 from radians to degrees. • Change 7π/9 to degrees.

  12. Arc Length Formulas For Radian Measure For Degree Measure

  13. Pizza Pi Time! • Find the perimeter of a 50° slice of a large (diameter = 14 in.) pizza.

  14. Let’s race! • It takes 10 identical pieces to form a circular track for a pair of toy racing cars. If the inside arc of each piece is 3.4 inches shorter than the outside arc, what is the width of the track?

  15. Rollin’ rollin’ rollin’ • Chuck’s truck has wheels 36 inches in diameter. If the wheels are rotating at 360 rpm (revolutions per minute), find the truck’s speed in miles per hour.

More Related