PRE-CAL (3) LINEAR AND ANGULAR MEASURE.pptx

Education

1. Grade 11 Pre-Calculus

2. OPENING PRAYER

3. ATTENDANCE

4. Relationship b etween the Linear and Angular Measures o f a Central Angle i n a Unit Circle

5. LINEAR MEASURE The linear measure of a central angle of a circle is the length of the arc of the circle that subtends the angle. In a circle with radius ( r ), the linear measure or intercepted arc ( s ) of a central angle radians is .  

6. What is θ in math? The Greek letter θ (theta) is used in math as a variable to represent a measured angle.

7. Examples: Find the linear measure of a central angle of a circle with radius 5 cm whose angular is 2 radians. Find the angular measure of a central angle of a circle with radius 2 m whose linear measure is 2 m. Find the linear measure of a 360 central angle in a circle with radius of 100cm.  

8. Examples: 4. Find the measure of a rotation in radians when a point 2 m from the center of rotation travels 4 m. 5. Find the length of an arc of a circle of radius 5 cm associated with an angle of radians. 6. Find the measure of the central angle (in radians) subtended by an arc of length 6 centimeters in a circle of radius 4 centimeters.  

9. ACTIVITY

10. Dear Lord Thank you that you promise us that when two or more come together in Your name You are with us. Thank you, Lord, that you have been with us throughout this lesson. And that you are with us right now. Inspire us as we leave this place to love and serve You always. Amen. CLOSING PRAYER

11. Converting Degree Measure to Radian Measure And Vice Versa

12. Converting Angle Measure To convert from degrees to radians, multiply the umber of degrees by . Then simplify. To convert from radians to degree, multiply the number of radius by . Then simplify.  

13. Examples: Convert each radian measure to degree measure. 1.) 4.) 10 2.) 5.) 3.) 3  

14. Examples: Convert each degree measure to radian measure. 1.) 225 4.) -210 2.) 75 5.) -150 3.) 100  

15. ACTIVITY