Question

_______3. Given that the r = 4 and n° = 80°, find the exact area of the shaded sector.

Answer 1

The person above is correct!

Answer 2

Okay, here we have this:

Considering the provided circle and information, we are going to calculate the requested area of the shaded sector, so we obtain the following:

Then we will substitute in the following formula:

Sector Area = r² × θ × π / 360

Replacinig:

Sector Area = (4 units)² × 80° × π / 360

Sector Area = 16 units² × 80° × π / 360

Sector Area = 11.17 units²

Finally we obtain that the sector area is approximately 11.17 units^2.