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ARC LENGTH.

Published byMillicent Campbell Modified over 6 years ago

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Presentation on theme: "ARC LENGTH."— Presentation transcript:

1 ARC LENGTH

2 First Method using the Definition of Radians Alternative Method
Slide 27

3 Review

4 All the Distance and Time Facts
Known Facts All the Distance and Time Facts

5 ARC LENGTH

6 Go Back has a measure of 1 radian

7 Equal the measure of an angle in radians
theta theta

8 The measure of the angle is the number of radii in the arc
Example The measure of the angle is the number of radii in the arc

9 Equal the measure of an angle in radians
Definition Copy

10

11

12

13 Equal the measure of an angle in radians
Definition Page New Book #71 to 74 Overhead

14 NEXT

15 Equal the measure of an angle in radians
Definition

16

17 s is the length of the arc measured in units of length
Formula Length of the arc of the circle s is the length of the arc measured in units of length r is the length of the radius measured in units of length

18 s is the length of the arc measured in units of length
Length of the arc of the circle s is the length of the arc measured in units of length r is the length of the radius measured in units of length

19 Example 1

20 Ex 1

21 Example 2

22 Ex 2

23 Example 3

24 Ex 3 ? Go Back

25 s is the length of the arc measured in units of length
Length of the arc of the circle s is the length of the arc measured in units of length r is the length of the radius measured in units of length

26 Ex 3 ? Convert to Radians radians 1 ?

27 Ex 3 ?

28 Alternative Method

29 Circumference of the Circle
ARC LENGTH if Portion of the Circle Circumference of the Circle

30 Circumference of the Circle
ARC LENGTH if Portion of the Circle Circumference of the Circle

31 Example 1 Revisted

32 Circumference of the Circle
Ex 1 ARC LENGTH if Portion of the Circle Circumference of the Circle

33 Circumference of the Circle
Ex 1 Circumference of the Circle Portion of the Circle

34 Example 3 Revisted

35 Circumference of the Circle
Ex 3 ARC LENGTH if Portion of the Circle Circumference of the Circle

36 Circumference of the Circle
Ex 3 Portion of the Circle Circumference of the Circle

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