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Answer:
Approximately 7.16 in
Step-by-step explanation:
Hi there!
Area of a circle equation: [tex]A=\pi r^2[/tex] where r is the radius
Plug in the given area 161 in.²
[tex]161=\pi r^2[/tex]
Divide both sides by π to isolate r²
[tex]\frac{161}{\pi} =\frac{\pi r^2}{\pi} \\\frac{161}{\pi} =r^2[/tex]
Take the square root of both sides to isolate r
[tex]=r^2\\\sqrt{\frac{161}{\pi}} =r\\7.16=r[/tex]
Therefore, the radius of the circle is approximately 7.16 in.
I hope this helps!