Question

Find the area of the following region. The region outside the circle r = 2 and inside the circle r = - 4 cos 0 . The area of the region is square units. (Type an exact answer.)

Answer 1

Answer 2

outside thes of circle - Find the area o=g o and inside cicle: re-46080 Solettan. Bra Y = 2 & Y = - 40040, both represent the circle This is Region which is outside r=2 & inside r=-4 coro let us fios find the points of intersection -41030 = 2 C080 = -1 The Area in poler co-ordinate 911);-41090 A = 1 Įr dodo Ma Ž 74008 Cooo= -cos() (080 = 20811-?) CO80 = (081917) -70= + 70= 91T A= 9TV c 72 746086 ), do -W2 A - A = gindo COD20 + 1 A = $* [ 8608?0 – ] do : cos zo = 4603'0.1 Vs [ 461+ Cob?0) -9 ] do soll [ 9 +60870] do = [90 + Singa ** - 911, A = 90, 1.919,

9 A = [ 329 + sin (.09 ) - 361-20) - .2x1520] A= 3 + otsing") + sin(90)] Az [ + sin(18+7 37 : Since) = -sine = [ 24 - sini ) )