Find the area of a sector with a central angle of 125 degrees and radius of 11 cm. express the approximate answer to the nearest tenth

Ok, first we find the are of the entire circle.

3.14 times 11 times 11 = 379.94.
Then, take 34.7% of that, which is 131.92361.
Rounded to the nearest tenth, it is 131.9. Hope it helps! :)

First we can start by finding the area of the whole circle:

A=πr²
A=π(11)²
A=121π cm²

We know that a circle has 360 degrees. With this information, we can set up a proportion:

121π cm²/360 degrees=x cm²/125 degrees

To solve for x, cross multiply:

360x=(121π)(125)
360x=15125π
x=42.01π

The area of the sector is 42.01π cm² or 131.99 cm².