What is the area under the polar curve #f(theta) = theta # over #[0,2pi]#? Calculus Polar Curves Calculating Polar Areas 1 Answer Konstantinos Michailidis Feb 5, 2016 The area is given by the formula #A=1/2 int_(0)^(2pi) f(theta) d(theta)=> A=1/2 int_(0)^(2pi) theta d(theta)=> A=1/4 [theta^2]_0^(2pi)=pi^2# Answer link Related questions How do you find the area of the region bounded by the polar curve #r=3cos(theta)# ? How do you find the area of the region bounded by the polar curve #r=3(1+cos(theta))# ? How do you find the area of the region bounded by the polar curve #r=2-sin(theta)# ? How do you find the area of the region bounded by the polar curve #r^2=4cos(2theta)# ? How do you find the area of the region bounded by the polar curve #r=2+cos(2theta)# ? How do you find the area of the region bounded by the polar curves #r=sqrt(3)cos(theta)# and... How do you find the area of the region bounded by the polar curves #r=1+cos(theta)# and... How do you find the area of the region bounded by the polar curves #r=cos(2theta)# and #r=sin(2theta)# ? How do you find the area of the region bounded by the polar curves #r^2=cos(2theta)# and... How do you find the area of the region bounded by the polar curves #r=3+2cos(theta)# and... See all questions in Calculating Polar Areas Impact of this question 1713 views around the world You can reuse this answer Creative Commons License