A parametric curve defined by x = \cos ⁡ (\frac{\pi u}{2}) ,y = \sin ⁡ (\frac{\pi u}{2})in the range of 0 ≤ u ≤ 1 is rotated about the X – axis by 360 degrees. Area of the surface generated is

GATE Mechanical Engineering (ME) 2017 Shift 1 Solved Paper

Question : 38 of 65

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A parametric curve defined by

x = \cos ⁡ (\;{π\;u}/{2}) ,y = sin \;⁡ (\;{π\;u}/{2})

in the range of 0 ≤ u ≤ 1 is rotated about the X – axis by 360 degrees. Area of the surface generated is

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