SATHEE: Area Question 18

Area Question 18

Question 18

The area (in sq units) of the region described by $Missing or unrecognized delimiter for \left$ is

(2014 Main) (a) $\frac{π}{2} + \frac{4}{3}$ (b) $\frac{π}{2} - \frac{4}{3}$ (c) $\frac{π}{2} - \frac{2}{3}$ (d) $\frac{π}{2} + \frac{2}{3}$

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Solution:

Given, $Missing or unrecognized delimiter for \left$

Required area $= \frac{1}{2} π r^{2} + 2 \int_{0}^{1} (1 - y^{2}) d y$

$\begin{aligned} = \frac{1}{2} π (1)^{2} + 2 y - {\frac{y^{3}}{3}}_{0}^{1} & = \frac{π}{2} + \frac{4}{3} sq units \end{aligned}$

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Area Question 18

Question 18

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