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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 circles ( with centre O) Perpendicular to each other and OD is the diameter of the smallest circle. If OA = 7cm, Find the area of the shaded region.

Text Solution

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OA=r=7 cm
OD=r=2r
1)Area=`pir^2=22/7*(7/2)^2=77/2cm^2`
2)Area=`1/2*b*h=1/2*14*7=49cm^2`.
3)Area=`(pir^2)/2-(pir'^2)/2=22/14(49-49/4)=231/4cm^2`
4)Area=`(pir^2)/2-49=22/7*47/2-49=28cm^2`
5)Area=`(pir^2)/2-(pir'^2)/2-49/2=49pi/2-49pi/8-49/2=33.25cm^2`.
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