Question

Show your work please!!!!!

Answer 1

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 $\frac{81\pi \times 300}{360} = 67.5\pi$ m². (Answer)