calculate area of a sector with given diameter and central angle

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Problem

calculate area of a sector with given diameter and central angle

Step-by-step solution

The radius $r = 18/2 = 9$ cm. The area of the shaded sector is $\frac{270}{360} \times \pi r^2 = 0.75 \times \pi \times 81 \approx 190.85$ cm$^2$.

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Answer

191 \text{ cm}^2