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Answer :
Here, \( 2 \pi r \ = \ \pi r^2 \), where r is the radius
\( \Rightarrow \ r^2 \ - \ 2r \ = \ 0 \)
\( \Rightarrow \ r(r \ - \ 2) \ = \ 0 \)
\(\Rightarrow \ r \ = \ 0 \ or \ r \ = \ 2 \)
But, \( r \ \ne \ 0 \) \(\therefore \) \(r \ = \ 2 \) units
Hence the correct option is (a).