Correct Answer: Option C

Explanation

Length of arc = \(\frac{\theta}{360}\) x 2\(\pi\)r = 6

\(\theta\) x 2\(\pi\)r = 360 x 6

\(\theta\) = \(\frac{360 \times 6}{2\pi r}\)

Area of the sector = \(\frac{\theta}{360}\) x \(\pi\)r²

\(\frac{360 \times 6}{2\pi r}\) x \(\frac{1}{360}\) x \(\pi\)r² = r

= 3 x 7

= 21cm²

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