- StudyBlue
- Kansas
- Kansas City Christian School
- Trigonometry
- Coleman
- Trigonometry Unit 4

Caroline C.

Length of an Arc

s = rθ

Area of a Circular Sector

A = 1/2r^{2}θ

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Angular Velocity

If an object moves along a circle during a time of t units, then the angular velocity, ω, is given by:

ω = θ/twhere θ is the angular displacement in radians

Linear Velocity

If an object moves along a circle or radians of r units, then its linear velocity, v is given by:

v= r(θ/t)

where (θ/t) represents the angular velocity in radians per unit of time

Periodic Function and Period

A function is *periodic *if, for some real number α, ƒ(*x *+ α) = ƒ(*x*) for each x in the domain of ƒ.

The least positive value of α for which ƒ(x) = ƒ(*x *+ α) is the *period * of the function.

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