Area Between Two Polar Curves
Area between two polar curves can also be easily calculated using the same concept. The curve in polar coordinates is converted to a rectangle coordinate system.
Let’s take two polar curves r0 = f(θ) and ri = g(θ) as shown in the image added below, and the area enclosed between these two curves is found from α ≤ θ ≤ β where [α, β] is the bounded region. Now the area between the curves is given as,
A = 1/2 ∫α β{(r0)2 – (ri )2}.dθ
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Area Between Two Curves: Formula, Definition and Examples
Area Between Two Curves in Calculus is one of the applications of Integration. It helps us calculate the area bounded between two or more curves using the integration. As we know Integration in calculus is defined as the continuous summation of very small units. The topic “Area Between Two Curves” has applications in the various fields of engineering, physics, and economics.
Let’s know more about Area Between Two Curves in detail below.