Answered

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The area of a circle is 161 in. What is the radius?​

Sagot :

theleangreenbean

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!

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