Answer:
The radius of the circle is 24 inches.
Step-by-step explanation:
Central angle in a sector is 90 degrees
Area of a sector is [tex]144\pi\ \text{inch}^2[/tex]
The area of sector is given by the formula as follows :
[tex]A=\dfrac{\theta}{360}\pi r^2[/tex]
r is the radius of circle
[tex]r=\sqrt{\dfrac{360 A}{\theta \pi}} \\\\r=\sqrt{\dfrac{360 \times 144\pi }{90\times \pi}} \\\\r=24\ \text{inch}[/tex]
So, the radius of the circle is 24 inches.
