Question

Help ASAP Please and thank you!!!
Find the area of the shaded region.
Round to the nearest tenth.
11.1 m
130°
Area = [ ? 1m2

Answer 1

The area of shaded region is determined by difference of area of circle and area of sector.

First determine the area of circle is

$A=\Pi\times r^2^{}$

The radius of circle is given as,

$r=11.1\text{ m.}$

Substitute the value of radius in area of circle,

$A_1=\text{ 3.14}\times(11.1)^2$$A_1=386.88m^2$

Similarly find the area of sector,

$A_2=\frac{\theta}{360^{\circ}}\times\Pi\times r^2$

The angle given is,

$\theta=130^{\circ}$

Substitute the value,

$A_2=\frac{130^{\circ}}{360^{\circ^{}}}\times3.14\times11.1^2$$A_2=0.3611\times386.88$$A_2=139.706m^2$

The shaded area is determined as,

$A=A_1-A_2$$A=386.88-139.706$

Thus the area of shaded region is determined as,

$A=247.173m^2$