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# P5 length of sector Q watch

1. Can anyone help with this maths question
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2. Arc length = ∫ [1+(dy/dx)2]1/2dx

dy/dx = sinh(x/a)

Arc length = ∫ [1+sinh2(x/a)]1/2dx = ∫ cosh(x/a) dx

= asinh(x/a) , from -ka to ka

= 2asinh(x/a) , from 0 to ka

= 2asinh(k)
3. (Original post by lesser weevil)
Can anyone help with this maths question
The arc length is

s = ∫√(1+(dy/dx)²) dx

Aitch

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