The formula for the circumference \( C \) of a circle is given by:
\[ C = 2\pi r \]
where \( r \) is the radius of the circle. Given that the radius \( r \) is 38 inches and using \( \pi \approx 3.14 \):
\[ C = 2 \times 3.14 \times 38 \]
Calculating this step-by-step:
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First, calculate \( 2 \times 3.14 \): \[ 2 \times 3.14 = 6.28 \]
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Next, multiply this result by the radius (38): \[ 6.28 \times 38 = 238.64 \]
Thus, the approximate circumference of the circle is:
\[ \boxed{238.64} \text{ inches} \]