Both the circle A and Circle B have same circumference (As they have the same area). Now twice the perimeter of semicircle B will be 2 diameters more than perimeter of circle A. Hence answer B.

Circle A and B have the same area i.e. same radius.
However the option B is stated as = \(2 \times(\pi r +2r)\). Twice the perimeter of semicirle B is not Equal to perimeter of circle B since there is an additional term of the diameter in the perimeter.
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Sandy
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