Question Solve for the diameter $d$ given the area $A = 8\pi d$ .

Studdy Solution

STEP 1

Assumptions
1. The formula given is $A = 8 \pi d$ , where $A$ is a known area and $d$ is the unknown variable we need to solve for.
2. We will solve for $d$ by isolating it on one side of the equation.

STEP 2

To isolate $d$ , we need to divide both sides of the equation by $8\pi$ .
$d = \frac{A}{8\pi}$

STEP 3

Now we can express $d$ in terms of $A$ and $\pi$ .
$d = \frac{A}{8\pi}$
Since the problem does not provide a specific value for $A$ , the solution for $d$ is the expression itself.
$d = \frac{A}{8\pi}$
This is the simplified exact answer, using $\pi$ as needed.

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