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Angle Conversion and Application Problems for Arc Length and Speed

Learn to convert angles, find arc length, linear/angular speed, and sector area. Solve real-world problems using angle measurements. Practice calculating arc length with central angle and radius. Understand revolutions, linear speed, and angular speed. Test your knowledge with sector area calculations. Includes assignments and a test.

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Angle Conversion and Application Problems for Arc Length and Speed

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  1. Warm-Up 8/19 Convert Angle to the other measurement 1. – 150 2. = 45 Q&A on assignment.

  2. Rigor:You will learn how to find Arc Length, Linear and Angular Speed plus the Area of a Sector .Relevance:You will be able to use angle measure to solve application problem.

  3. 4-2b Degrees and Radians

  4. Example 4: Find the length of the intercepted arc given central angle and radius. Round to the nearest tenth. a. , r = 4 in. b. 125, r = 7cm

  5. = 2  Revolutions Linear Speed applies to any object that moves. Angular Speed applies to objects that rotate.

  6. = 2  Revolutions Example 5: Find the rotation in revolutions per minute given the angular speed. a. Find the radius given the linear speed and the rate of rotation. b.

  7. Area of a Sector The area A of a sector of a circle with radius r and central angle  is where  is measures in radians.

  8. Example 6: Find Area of Sector.

  9. math! • 4-2a Assignment: TX p238, 27-39 odd + 43-47 odd • Unit 1 Test • Thursday 8/22

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