ARC LENGTH.

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Presentation transcript:

ARC LENGTH

First Method using the Definition of Radians Alternative Method Slide 27

Review

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

ARC LENGTH

Go Back has a measure of 1 radian

Equal the measure of an angle in radians theta theta

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

Equal the measure of an angle in radians Definition Copy

Equal the measure of an angle in radians Definition Page 266 New Book #71 to 74 Overhead

NEXT

Equal the measure of an angle in radians Definition

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

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

Example 1

Ex 1

Example 2

Ex 2

Example 3

Ex 3 ? Go Back

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

Ex 3 ? Convert to Radians radians 1 ?

Ex 3 ?

Alternative Method

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

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

Example 1 Revisted

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

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

Example 3 Revisted

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

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