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 1977 views around the world You can reuse this answer Creative Commons License