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Find the exact length of the polar curve.

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 Find the exact length of the polar curve.

asked Feb 2, 2015 in CALCULUS by anonymous

1 Answer

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Step 1 :

Arc length :

The length of a curve with polar equation image is

image

Step 2 :

The polar equation is image.

Apply derivative on each side with respect to image.

image

The exact length of the polar curve is image.

Substitute image and image in above equation.

image

Consider image.

image

When image.

image

When image.

image.

Substitute corresponding values in L.

image

The exact length of curve is image

Solution :

The exact length of curve is image

answered Feb 3, 2015 by Thomas Apprentice

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