How do you find the length of a curve defined

Jamiya Weber

Jamiya Weber

Answered question

2022-06-14

How do you find the length of a curve defined parametrically?

Answer & Explanation

Aiden Norman

Aiden Norman

Beginner2022-06-15Added 16 answers

If the curve is defined by a parametric equations { x = x ( t ) y = y ( t ) , then the arc length L
of the curve from t=a to b can be found by
L = a b ( d x d t ) 2 + ( d y d t ) 2 d t

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