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# Lesson 4.1 Radian & Degree Measure - PowerPoint PPT Presentation

Lesson 4.1 Radian & Degree Measure. Parts and Types of Angles. Terminal & Initial. Positive & Negative. Coterminal A positive and negative angle where. 30 o & ______. 120 o & ______. Investigate Draw a circle and make up a number for the radius.

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## PowerPoint Slideshow about 'Lesson 4.1 Radian & Degree Measure' - rusty

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### Lesson 4.1Radian & Degree Measure

Terminal & Initial

Positive & Negative

Coterminal

A positive and negative angle where

30o & ______

120o & ______

• Investigate

• Draw a circle and make up a number for the radius.

• Estimate a sector where the arc length would be equal to the radius

• Find the circumference of the circle.

• Use the formula below to find the degree measure of the arc

• Then, what is the measure of the central angle of your sector?

• Write your results in the table:

The angle size when the arc length equals the radius of a circle

Question: How many radians to equal 180o? 360o?

Full revolution:

The units of an angle are in degrees or radians

Converting

Units have

to cancel

Sketch in standard position.

Find 2 coterminal angles to

Arc Length =

Linear Speed =

Speed = Distance over time

Angular Speed =

Find the angle in degrees

31 in.

12 in.