Answer: Diameter of the circle = 24 inches
Step by step solution:
The area of a circle can be calculated with the formula:
[tex]\begin{gathered} A=\frac{\pi}{4}\cdot d^2^{} \\ A=\text{ area} \\ d=\text{diameter} \end{gathered}[/tex]
We have that the circle has an area of 452.16 square inches, we plugin A = 452.16 and solve for d:
[tex]\begin{gathered} 452.16=\frac{\pi}{4}\cdot d^2 \\ d^2=452.16\cdot\frac{4}{\pi} \\ d^2=\frac{1808.64}{\pi} \\ d=\sqrt[]{\frac{1808.64}{\pi}}\approx23.994 \end{gathered}[/tex]
We can round it up to the nearest tenth. The diameter of the circle = 24 inches
