Question

Show your work please!!!!!

Answer 1

67.5π m²

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
`(81\pi * 300)/(360) = 67.5\pi` m². (Answer)