given the graph of a limacon with a loop, how do you find the area inside the large loop but outside the small loop?
for example, if r = 1-2sin(theta), how do you do that???
for example, if r = 1-2sin(theta), how do you do that???
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If you integrate from pi/6 to 5pi/6, you will get the area of the inner loop.
If you integrate from 5pi/6 to 13pi/6, you will get the area of the outside loop. Don't forget the 1/2 in front of the integrals.
Then subtract areas to get your answer.
I get an area of 8.337745076.
If you integrate from 5pi/6 to 13pi/6, you will get the area of the outside loop. Don't forget the 1/2 in front of the integrals.
Then subtract areas to get your answer.
I get an area of 8.337745076.