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SectionSection
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 ...
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 / RadianDegree / Radian
ConversionConversion
Convert:Convert:
 9090º to radiansº to radians
 45º to radians45º to radians
 to degreeto degree
 to degreeto degree
2...
Arc Length FormulaArc Length Formula
 For radians:For radians:
 For degrees:For degrees:
Θ= rS
180
Θ
=
r
S
π
Example:Example:
Example:Example:
 Find the perimeter of a 60Find the perimeter of a 60º slice of pizzaº slice of pizza
with a 7 inch radi...
HomeworkHomework
 p. 358 (1-31 odd, 35-38, 59-62)p. 358 (1-31 odd, 35-38, 59-62)
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4.1.ppt worked

  1. 1. SectionSection 4.14.1
  2. 2. Label these parts!Label these parts!
  3. 3. Definition of a radian:Definition of a radian:
  4. 4. 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
  5. 5. Convert to DMSConvert to DMS  37.42537.425  15.73515.735
  6. 6. Convert to decimalConvert to decimal  3939º5’34”º5’34”  42º24’36”42º24’36”
  7. 7. Degree / RadianDegree / Radian ConversionConversion
  8. 8. Convert:Convert:  9090º to radiansº to radians  45º to radians45º to radians  to degreeto degree  to degreeto degree 2 3π 3 π
  9. 9. Arc Length FormulaArc Length Formula  For radians:For radians:  For degrees:For degrees: Θ= rS 180 Θ = r S π
  10. 10. Example:Example:
  11. 11. Example:Example:  Find the perimeter of a 60Find the perimeter of a 60º slice of pizzaº slice of pizza with a 7 inch radius.with a 7 inch radius.
  12. 12. HomeworkHomework  p. 358 (1-31 odd, 35-38, 59-62)p. 358 (1-31 odd, 35-38, 59-62)

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