Circumference = \(2πr
\)

Half of circumference is 20. So full circumference is 40.

Therefore:

\(2πr=40\)

=> \(πr=\frac{40}{2}\)

=> \(πr=20\)

=> \(r=\frac{20}{π}\)

Area of the garden

\(\frac{(πr^2)}{2}\)

= \(\frac{(π (\frac{20}{π}) (\frac{20}{π}))}{2} = \frac{(\frac{400}{π})}{2} = \frac{200}{π}\) Option D

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