Radian Measure. Many things can be measured using different units.

Radian Measure

Many things can be measured using different units.

Example: Temperature: Fahrenheit and Celsius

Many things can be measured using different units.

Example: Temperature: Fahrenheit and Celsius

Other Examples?

Angles can be measured with different units too.

Angles can be measured with different units too.- Degrees

- Radians:

Angles can be measured with different units too.- Degrees: 1/360th of a circle

- Radians:

- May be relate to the number of days in a year

- Radians:

- May be relate to the number of days in a year

- Radians: ratio between the arc created by the angle and the radius

What is a Radian?

Radian: 1 Radian is the measure of the angle which creates an arc which is the same length as the radius.

What is a Radian?

Radian: 1 Radian is the measure of the angle which creates an arc which is the same length as the radius.

Radians are typically reported in terms of π.

- There are 2π radians in one full rotation around a circle

You have used Radians before!!

Formula for circumference of a circle:

Formula for circumference of a circle:C = 2πr

Formula for area of a circle:

Formula for area of a circle:A = πr2

Converting from degrees to radians:

Formula:

Radians = Degrees ∙180

Converting from degrees to radians:

Formula:

Radians = Degrees ∙

* Typically leave answer as a fraction in reduced form.

Convert to Radians:

–45°

Convert to Radians:

Converting from Radians to Degrees:

Formula:

Degrees = Radians ∙180

Convert from Radians to Degrees:

Radian Measure. Many things can be measured using different units.

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Transcript of Radian Measure. Many things can be measured using different units.

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