Precalc Trig Arc Length Question

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SUMMARY

The forum discussion centers on solving a precalculus trigonometry problem regarding arc length, specifically question #7 from the Alberta Education math release document. The equation used is a = theta * r, where theta is the angle in radians and r is the radius. The initial calculation of a = (5pi/6) * 20 was incorrect, as the total perimeter also includes additional lengths. The correct approach involves adding the arc length to the straight segments, resulting in a final formula of [(5pi/6)*20] + 16(2) + [(5pi/6)*4].

PREREQUISITES
  • Understanding of arc length calculation using the formula a = theta * r
  • Familiarity with radians and their conversion to degrees
  • Basic knowledge of geometry, specifically perimeter calculations
  • Ability to interpret mathematical word problems accurately
NEXT STEPS
  • Study the concept of arc length in circular motion
  • Learn about the relationship between radians and degrees in trigonometry
  • Explore perimeter calculations for composite shapes
  • Practice solving similar precalculus problems from educational resources
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Students studying precalculus, educators teaching trigonometry concepts, and anyone preparing for standardized math assessments.

A123
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Homework Statement


http://education.Alberta.ca/media/9451970/07_math30-1_released_2014-15.pdf
question #7

Homework Equations


a=theta*r

The Attempt at a Solution


I did a=(5pi/6)*20 but the answer is not A
 
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A123 said:

Homework Statement


http://education.Alberta.ca/media/9451970/07_math30-1_released_2014-15.pdf
question #7

Homework Equations


a=theta*r

The Attempt at a Solution


I did a=(5pi/6)*20 but the answer is not A
I think 'total perimeter' here means you go entirely around the area which is swept out by the wiper.
 
SteamKing said:
I think 'total perimeter' here means you go entirely around the area which is swept out by the wiper.
I agree with SteamKing's appraisal.
 
SteamKing said:
I think 'total perimeter' here means you go entirely around the area which is swept out by the wiper.

Yeah I just went back to it and I missed that word completely lol.
Its [(5pi/6)*20] + 16(2) + [(5pi/6)*4]
I was too focused on what's inside
 

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