4.1.ppt worked

Section Section 4.14.1

Label these parts!Label these parts!

Definition of a radian:Definition of a radian:

Conversions:Conversions: Degree – most common unit usedDegree – most common unit used Minutes – 1’ – 1/60 of a degree = deg/60Minutes – 1’ – 1/60 of a degree = deg/60 Seconds – 1” – 1/60 of a min = deg/3600Seconds – 1” – 1/60 of a min = deg/3600

Convert to DMSConvert to DMS 37.42537.425

15.73515.735

Convert to decimalConvert to decimal 3939º5’34”º5’34”

42º24’36”42º24’36”

Degree / Radian Degree / Radian ConversionConversion

Convert:Convert: 9090º to radiansº to radians

45º to radians45º to radians

to degreeto degree

to degreeto degree23

3

Arc Length FormulaArc Length Formula For radians:For radians:

For degrees:For degrees:

rS

180

rS

Example:Example:

Example:Example: Find the perimeter of a 60Find the perimeter of a 60º slice of pizza º slice of pizza

with a 7 inch radius.with a 7 inch radius.

HomeworkHomework p. 358 (1-31 odd, 35-38, 59-62)p. 358 (1-31 odd, 35-38, 59-62)