Demana, Waits, Foley, Kennedy

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Presentation transcript:

Demana, Waits, Foley, Kennedy 4.1 Arc Length

Why 360º ? θ is a central angle intercepting a circular arc of length a. The measure can be in degrees (a circle measures 360º once around) or in radians, which measures the length of arc a.

Radian A central angle of a circle has measure 1 radian if it intercepts an arc with the same length as the radius.

Degree-Radian Conversion

Arc Length Formula (Radian Measure)

Arc Length Formula (Degree Measure)

Example: Perimeter of a Pizza Slice s 8 in 8 in

Angular and Linear Motion

Example: Using Angular Speed

Nautical Mile A nautical mile (naut mi) is the length of 1 minute of arc along Earth’s equator.

Distance Conversions