please help solve this homework problem asap. show work pelase Given the circle and the cardioid respectively, r =2, r = 2 + 2 sin 0a)Graph both curves on the same plane. Provide the table of values for the graph of cardioid.Find the area of the region that lies inside the curve r = 2+2 sin 0 and outsider = 2(0=8 / r²do)(Given the formula of Polar area = Jo=ab)

Answered: Image /qna-images/answer/ca4290f5-8921-40cb-9886-4556e2dd27b3.jpg

Answered: Given the circle and the cardioid…

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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Given the circle and the cardioid respectively, r = 2, r = 2+2 sin 0 a) b) Graph both curves on the same plane. Provide the table of values for the graph of ca Find the area of the region that lies inside the curve r = 2+ 2 sin 0 and outside r