Question

What is the approximate area of the shaded sector in the circle ? please explain too

Answer 1

Short Answer: B
Remark
The general formula for area of a sector is (k) pi r^2 / 360 where k is the central angle of the arc (they are both the same value 110 degrees). 

Formula
Area = k * pi * r^2 / 360

Givens
k = 110 degrees.
pi = 3.14
r = 16 inches.

Sub and Solve
Area = 110 * 3.14 * 16^2 / 360
Area = 110 * 3.14 * 256 / 360
Area = 88422.4 / 360
Area = 245.6 in^2 <<<<< Answer

Answer 2

The area of any circle is (pi · radius²) .

The area of this COMPLETE circle is (pi · radius²) = 256π inches² .

The complete circle covers 360°.

The area of the sector is (110/360) of the whole circle = (110/360)·(256π) in².