Answer:
67.5π m²
Step-by-step explanation:
See the diagram given with the question.
The angle moved by the radius line about the center to cover the shaded region is 300°.
As the radius(r) is known to be 9 m.
So, the area of the full circle is πr² = π × (9)² = 81π m².
Now, to cover the whole circle the radius line has to rotate 360° about the center.
Hence, for rotation of 360° the area obtained is 81π m².
Then for rotation of 300° the area obtained will be [tex]\frac{81\pi \times 300}{360} = 67.5\pi[/tex] m². (Answer)
