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

A parametric curve defined by \(x = \cos \left( {\frac{{\pi u}}{2}} \r

1.	A parametric curve defined by \(x = \cos \left( {\frac{{\pi u}}{2}} \right),y = \sin \left( {\frac{{\pi u}}{2}} \right)\)in the range of 0 ≤ u ≤ 1 is rotated about the X – axis by 360 degrees. Area of the surface generated is
A.	\(\frac{\pi }{2}\)
B.	π
C.	2π
D.	4π
Answer» D. 4π

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A parametric curve defined by \(x = \cos \left( {\frac{{\pi u}}{2}} \right),y = \sin \left( {\frac{{\pi u}}{2}} \right)\)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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