Divide 415.48 by Pi, to get around 132.25. You then take the square root of this to get you radius, which is around 11.5. The diameter is two times the radius, so the diameter is 23.
The diameter of the circle is 23.07 inches.
Given
The diameter of a circle with an area of 415.48 square inches.
The area of the circle is given by;
[tex]\rm Area \ of \ circle =\pi r^2[/tex]
And the diameter of the circle is;
[tex]\rm Diameter =2\times r\\\\r=\dfrac{d}{2}[/tex]
On comparing both the relations;
[tex]\rm Area \ of \ circle =\pi r^2\\\\\rm Area \ of \ circle =\pi \times (\dfrac{d}{2})^2\\\\415.48 =3.14 \times \dfrac{d^2}4}\\\\0.78d^2=415.48\\\\d^2=\dfrac{415.48}{0.78}\\\\ d^2=532.66\\\\d=23.07[/tex]
Hence, the diameter of the circle is 23.07 inches.
To know more about the circle click the link given below.
https://brainly.com/question/266951
