To find an expression that represents the value of \( x \) in terms of the given circumference \( C \) and diameter of the circle, we can use the relationship between the circumference (\( C \)) and the diameter (\( d \)) of a circle, which is given by the formula:
\[ C = \pi d \]
In this case, the diameter \( d \) is given as 17 inches, so we can substitute that value into the formula:
\[ C = \pi \times 17 \]
Thus, we have:
\[ C = 17\pi \]
If you're looking to express \( x \) in terms of \( C \), we can rearrange the formula:
\[ C = 17\pi \implies \pi = \frac{C}{17} \]
However, without further context about \( x \) and its relation to \( C \), it's not clear what expression is specifically required for \( x \). If you have additional information regarding how \( x \) is defined in relation to \( C \) or other parameters, please share, and I can provide a more tailored response. If \( x \) is simply referencing the circumference formula, you could say:
\[ x = 17\pi \quad \text{where } C = x \]
Or simply:
\[ x = C \quad \text{where } C = 17\pi \]
We can summarize that the expression for the circumference \( C \) reflects \( 17\pi \) when expressed as a function of the given diameter.
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