Respuesta :

mckenzieplindsay
what you know is 
area=706.5in^2
formula is 3.14*r*r
what to do is set up an equation
706.5=3.14*r*r
after you divide both sides by 3.14 to cancel it out your left with 
225=r^2 
then you would take the root of both sides to get 
r= 15 , -15

The area of a circle is 706.5 square inches, the radius of the circle is 15.

What is the area of the circle?

The area of the circle is given by;

[tex]\rm Area \ of \ circle=\pi r^2\\\\Where; \ r \ is \ the \ radius \ of \ the \ circle[/tex]

The area of a circle is 706.5 square inches.

Substitute the values in the equation and solve for the value of x;

[tex]\rm Area \ of \ circle=\pi r^2\\\\ 706.5 =\pi r^2\\\\r ^2= \dfrac{706.5}{3.14}\\\\r^2=225 \\\\r=15[/tex]

Hence, the radius of the circle is 15.

Learn more about the area of the circle here;

https://brainly.com/question/3125926

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