GATE (TF) Textile 2011 Question Paper Solution | GATE/2011/TF/23

Question 23 (Textile Engineering & Fibre Science)

The area of an ellipse with ‘a‘ and ‘b‘ as the length of major and minor axis, respectively is

(A)\pi ab
(B)\pi \frac{(a+b)}{2}
(C)\pi \frac{ab}{4}
(D)\pi \frac{ab}{2}
[Show Answer]

Major axis=a
Major radii=a/2
and
Minor axis=b
Minor redii=b/2

The area of an ellipse=\pi \times \frac{a}{2} \times \frac{b}{2}
=\pi \times \frac{ab}{4} (Ans)
Option C is correct.

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