# Find the exact length of the polar curve

We'll explore quick and easy ways how to Find the exact length of the polar curve in this blog post. ## 11.4: Area and Arc Length in Polar Coordinates

The length of a curve in polar coordinates can be found by integrating the lengths of the polar curve. The arc length is given by \int_a^b \sqrt{ [r(\varphi)]^2 + [ \frac{dr(\varphi) }{ d\varphi } ] ^2 d\varphi}.    ## Find the exact length of the polar curve. r = θ2, 0 ≤ θ ≤ 2π

See Answer. Find the exact length of the polar curve. r = e3𝜃, 0 ≤ 𝜃 ≤ 2𝜋. Convert the equation to polar form. (Use variables r and 𝜃 as needed.) x = y.
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## How do you find the exact length of the polar curve r=e^theta

The formula for arc length of polar curve is shown below: L e n g t h = ∫ θ = a b r 2 + ( d r d θ) 2 d θ. Where the radius equation (r) is a function of the angle ( θ ). The integral limits are the upper

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## Arc Length of Polar Curves

You'll get a detailed solution from a subject matter expert that helps you learn core concepts. See Answer. Find the exact length of the polar curve r = 3 sin (θ) , 0 ≤ θ ≤ π/3. Length = ?

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