Find the length of the cardioid {eq}\; r = 1 + \cos(\theta) {/eq}. Length of a Polar Curve: In this problem, we are asked to find the length of a cardioid. We will use the integral formula for length of a polar curve. ...
Find the length of r=4 from θ=0 to θ=π3. Length: Polar Curve: We need to find the arc length of a polar curve, which in this problem is simply an arc of a circle. The arc length of a curve in polar coordinates can be calculated using the integral: ∫abr2+r′2dθ....
Find the length of the curve r = 1 + \sin \theta that lies inside the circle r = 3\sin \theta Find the length of the curve r = e^{2\theta} in the interval 0 \leq \theta \leq 2\pi Find the length of the curve of a car...