Guldin theorem

Algebra Level 3

Using the second Guldin theorem, find the coordinates of the centre of gravity of the figure bounded by the x x -axis and one arc of the cycloid: x = a ( t − sin ⁡ t ) ; y = a ( 1 − cos ⁡ t ) x=a(t-\sin t); \ y=a(1-\cos t) .

5 a 6 \frac{5a}6 4 a 3 \frac{4a}3 3 a 3a 3 a \sqrt3 a 6 a 6a 5 a 5a

Rohit Roychoudhury by Rohit Roychoudhury , 20, India

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