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P5 length of sector Q

Can anyone help with this maths question
maths q.JPG25.2KB
Reply 1
Avatar for m:)ckel
m:)ckel
14
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)
Reply 2
Avatar for Aitch
Aitch
2
lesser weevil
Can anyone help with this maths question


The arc length is

s = ∫√(1+(dy/dx)²) dx

Aitch

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