Find the length of the entire perimeter of the region inside r = 15 sin 0 but outside r = = 4. Answer:

Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter8: Areas Of Polygons And Circles
Section8.5: More Area Relationships In The Circle
Problem 43E
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Find the length of the entire perimeter of the region inside r =
15 sin 0 but outside r = 4.
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Transcribed Image Text:Find the length of the entire perimeter of the region inside r = 15 sin 0 but outside r = 4. Answer:
Expert Solution
Step 1

It is given that that it is inside r=15sinθ and outside r=4.

Recall the formula for length of perimeter is given by L=αβr2+drdθ2dθ.

Obtain point of intersection of r=15sinθ and r=4:

15sinθ=4sinθ=415θ=sin-1415

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