Question

Find the diameter of a circle with an area of 452.16 in

Answer 1

Answer: Diameter of the circle = 24 inches

Step by step solution:

The area of a circle can be calculated with the formula:

`\begin{gathered} A=(\pi)/(4)\cdot d^2^{} \\ A=\text{ area} \\ d=\text{diameter} \end{gathered}`

We have that the circle has an area of 452.16 square inches, we plugin A = 452.16 and solve for d:

`\begin{gathered} 452.16=(\pi)/(4)\cdot d^2 \\ d^2=452.16\cdot(4)/(\pi) \\ d^2=(1808.64)/(\pi) \\ d=\sqrt[]{(1808.64)/(\pi)}\approx23.994 \end{gathered}`

We can round it up to the nearest tenth. The diameter of the circle = 24 inches