# Calculating Polar Areas - Page 4

Questions

- How do you find the area of the region bounded by the polar curves #r=1+cos(theta)# and #r=1-cos(theta)# ?
- What is the area enclosed by #r=-thetasin(-16theta^2+(7pi)/12) # between #theta in [0,(pi)/4]#?
- What is the area under the polar curve #f(theta) = theta-thetasin((7theta)/8 )-cos((5theta)/3+pi/3) # over #[pi/6,(3pi)/2]#?
- What is the area enclosed by #r=-sin(theta+(15pi)/8) -theta# between #theta in [0,(pi)/2]#?
- What is the area enclosed by #r=theta^2-2sintheta # for #theta in [pi/4,pi]#?
- How do you use the polar coordinates to find the volume of a sphere of radius 10?
- What is the area enclosed by #r=7cos((theta)/12-(3pi)/2)+2sin((2theta)/3+(2pi)/3) +theta/3# between #theta in [0,pi]#?
- How do you find the area between the loop of #r=1+2costheta#?
- What is the area under the polar curve #f(theta) = theta^2-thetasin(2theta-pi/4 ) +cos(3theta-(5pi)/4)# over #[pi/8,pi/2]#?
- Find the area bounded by the inside of the polar curve # r=1+cos 2theta # and outside the polar curve # r=1 #?
- Using integrals, find the area of the circle #x^2 + y^2 = 1# ?
- Show that # int_0^h int_0^x sqrt(x^2+y^2) dy dx = h^3/6 (sqrt(2) + ln( sqrt(2) + 1) ) #?
- How do you find the area of the region bounded by the polar curves #r^2=cos(2theta)# and #r^2=sin(2theta)# ?
- Find the area bounded by the polar curves? #r=4+4cos theta# and #r=6#
- How do you find the points of intersection of #r=4-5sintheta, r=3sintheta#?
- How do you find the area of the common interior of #r=4sintheta, r=2#?
- What is the area enclosed by #r=sintheta/theta-theta^3-theta # between #theta in [pi/12,pi/3]#?
- How do you find the area of one petal of #r=cos5theta#?
- The diagram shows two curves with equations y=sin x and y=sin2x for x values between 0 and pi. the curves meet at the origin and at the points P and Q. a) find P and Q? b)find the areas of the shaded regions A1 and A2?
- How do you find the area of the region bounded by the polar curves #r=sqrt(3)cos(theta)# and #r=sin(theta)# ?