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In the given figure, AB and CD are two d...

In the given figure, AB and CD are two diameters of a circle (with centre O) perpendicular to each other and OD is the diameter of the smaller circle. If OA = 7 cm, find the area of the shaded region.

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Consider a fluid particle on surface. The forces acting on it are shown in figure ltBrgt Resultant force acting on liquid surface will always normal to it `tanalpha=(macostheta)/(mg-masintheta)=(acostheta)/((g-asintheta))`
thus angle of liquid surface with the horizontal is equal to `alpha=tan^(-1)((acostheta)/(gcos^(2)theta))` ltbr (ii) if `a=gsintheta`, then `alpha=tan^(-1)=tan^(-1)((acostheta)/(g-gsin^(2)theta))=tan^(-1)((gsinthetacostheta)/(gcos^(2)theta)`
`=tan^(-1)(tantheta)`
`alpha=theta`
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