Answer:
The radius of the circle is [tex]28\ in[/tex]
Step-by-step explanation:
we know that
In a circle, a 90-degree sector represents a quarter of the circle area.
The area of a quarter circle is equal to
[tex]A=\frac{1}{4}\pi r^{2}[/tex]
we have
[tex]A=196\pi\ in^{2}[/tex] ----> area of a quarter circle
so
[tex]196\pi=\frac{1}{4}\pi r^{2}[/tex]
Simplify
[tex]r^{2}=196*4[/tex]
[tex]r=28\ in[/tex]
