A) \[4\pi \text{ }c{{m}^{2}}\]
B) \[2\pi \text{ }c{{m}^{2}}\]
C) \[\frac{4}{\pi }\text{ }c{{m}^{2}}\]
D) \[\frac{\pi }{4}\text{ }c{{m}^{2}}\]
Correct Answer: A
Solution :
(a): \[AB=16cm\] \[AQ=10\text{ }cm\] and \[AO=\frac{AB}{2}=8\,cm\] \[OQ=AQ-AO\Rightarrow 10-8=2\,cm\] OQ (= OP) is the radius of the smaller enclosed circle between two arcs. Area of circle with centre O is \[\pi \times {{(2)}^{2}}=4\pi \,c{{m}^{2}}\]You need to login to perform this action.
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