Correct Answer: Option A

Explanation

Area of sector, A = 3cm

Angle, θ = 1.5 rad

Recall A = \(\frac{θ}{360}\) x πr\(^2\) 

where 360 = 2π rad

3 = \(\frac{1.5}{2π}\) x πr\(^2\)

 3 = \(\frac{1.5}{2}\) x r\(^2\)

 3 x 2 = 1.5 r\(^2\)

\(\frac{6}{1.5}\) = r\(^2\)

4 = r\(^2\)

r = \(\sqrt{4}\) = 2cm

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