# Math Help - Find the Area of the shaded sector [Basic]

1. ## Find the Area of the shaded sector [Basic]

2. The area of the entire circle is $A=\pi r^2=16\pi$

$\displaystyle\frac{120}{360}=\frac{1}{3}$

The shaded area is 1/3 of the circle.

3. Originally Posted by dwsmith
The area of the entire circle is $A=\pi r^2=16\pi$

$\displaystyle\frac{120}{360}=\frac{1}{3}$

The shaded area is 1/3 of the circle.
So you just simplify the fraction?

4. Originally Posted by vaironxxrd
So you just simplify the fraction?
Just divide.

$\displaystyle\frac{16\pi}{3}$

5. Originally Posted by dwsmith
Just divide.

$\displaystyle\frac{16\pi}{3}$
1.04 .....
A little confused understanding this concept.
First how did you get it?( sorry for the annoying simple question)

6. Originally Posted by vaironxxrd
1.04 .....
A little confused understanding this concept.
First how did you get it?( sorry for the annoying simple question)
How would you find 1/2 of 100?

7. Originally Posted by dwsmith
How would you find 1/2 of 100?
hahahahaha,. 50

8. Originally Posted by vaironxxrd
hahahahaha,. 50
$\displaystyle\frac{100}{2}$

Well 1/3 of $16\pi$ is $\displaystyle\frac{16\pi}{3}$

9. Originally Posted by dwsmith
$\displaystyle\frac{100}{2}$

Well 1/3 of $16\pi$ is $\displaystyle\frac{16\pi}{3}$
or 0.333333333?

10. That is 1/3.

$\displaystyle\frac{16\pi}{3}\approx 16.75516$

11. Originally Posted by dwsmith
That is 1/3.

$\displaystyle\frac{16\pi}{3}\approx 16.75516$
Oh now i get it