Answer:
3.14 units²
Step-by-step explanation:
The key realization here is that this shape is one quarter of a circle.
Therefore, it's area will be [tex]\frac{1}{4}[/tex] of the whole circle's area.
So, let's first find the area as if this were a whole circle.
The formula is [tex]\pi r^2[/tex], and we know that the radius, r, is 2. So:
[tex]\pi\cdot2^2\\\\\pi\cdot4\\\\3.14\cdot4\\\\12.56[/tex]
Now we need to find one fourth of this, we can do this by dividing by 4.
[tex]12.56\div4=3.14[/tex]
Hope this helped!
