Question
Find the area of the ellipses(a) $\mathrm{x}^{2} / 9+\mathrm{y}^{2} / 25=1$(b) $x^{2} / 144+y^{2} / 256=1$(c) $x^{2} / 64+y^{2} / 49=1$(d) $\mathrm{x}^{2} / 81+\mathrm{y}^{2} / 16=1$
Step 1
The area of an ellipse is given by the formula $A = \pi ab$. (a) In this case, $a^2 = 9$ and $b^2 = 25$. So, $a = 3$ and $b = 5$. The area is $A = \pi(3)(5) = 15\pi$. Show more…
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