Answer:
28.27cm³
Step-by-step explanation:
Area of a circle:
[tex]A=\pi r^2[/tex]
First, find the area of a full circle with this given radius:
[tex]\rightarrow A=(3.14159)(6)^2\\\rightarrow A=(3.14159)(36)\\\rightarrow A=113.09734\\[/tex]
Now, to find the radius of a quarter circle with the same radius, just divide by 4:
[tex]\rightarrow A = \frac{113.09734}{4}\\\rightarrow A = 28.27433[/tex]
The radius of the quarter circle is about 28.27cm³
