# Calculating Polar Areas - Page 2

Questions

- What is the area enclosed by #r=2sin(theta+(7pi)/4) # between #theta in [pi/8,(pi)/4]#?
- What is the area enclosed by #r=theta # for #theta in [0,pi]#?
- How do you find the area between the loops of #r=2(1+2sintheta)#?
- What is the area enclosed by #r=cos(theta-(7pi)/4)+sin(-theta-(9pi)/12) # between #theta in [pi/12,(3pi)/2]#?
- Find the area of a single loop in curve #r=\sin(6\theta)#?
- How do you find the area of the region bounded by the polar curve #r=3cos(theta)# ?
- How do you evaluate the integral #sin(x^2+y^2)dr# where r is the region #9<= x^2 + y^2 <= 64# in polar form?
- How do you find the points of intersection of #r=2-3costheta, r=costheta#?
- How do you find the area of one petal of #r=2cos3theta#?
- What is the area enclosed by #r=cos((2theta)/3-(pi)/8)+sin((7theta)/8+(pi)/4) # between #theta in [0,pi]#?
- Find the area of the region inside these curves?
- How do you find the area of the region bounded by the polar curve #r^2=4cos(2theta)# ?
- What is the area enclosed by #r=-9cos((5theta)/3-(pi)/8)+3sin((theta)/2+(3pi)/4) # between #theta in [0,pi/2]#?
- How do you find the points of intersection of #r=1+costheta, r=1-sintheta#?
- If a sprinkler distributes water in a circular pattern, supplying water to a depth of #e^-r# feet per hour at a distance of r feet from the sprinkler, what is the total amount of water supplied per hour inside of a circle of radius 11?
- How do you find the area the region of the common interior of #r=a(1+costheta), r=asintheta#?
- What is the area enclosed by #r=-sin(3theta-(7pi)/4) # between #theta in [pi/8,(pi)/4]#?
- How do you find the area of the region bounded by the polar curves #r=3+2cos(theta)# and #r=3+2sin(theta)# ?
- What is the area under the polar curve #f(theta) = theta^2-thetasin(6theta-pi/12 ) +cos(12theta-(5pi)/3)# over #[pi/8,pi/6]#?
- How do you find the area of one petal of #r=6sin2theta#?