Questions: The radius of a circle is 16.4 m . Find the circumference to the nearest tenth.

The radius of a circle is 16.4 m . Find the circumference to the nearest tenth.
Transcript text: The radius of a circle is 16.4 m . Find the circumference to the nearest tenth.
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Solution

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Solution Steps

To find the circumference of a circle, use the formula \( C = 2\pi r \), where \( r \) is the radius of the circle. Given the radius, substitute it into the formula and calculate the circumference. Finally, round the result to the nearest tenth.

Step 1: Calculate the Circumference

To find the circumference \( C \) of a circle, we use the formula: \[ C = 2\pi r \] where \( r = 16.4 \, \text{m} \). Substituting the value of the radius, we have: \[ C = 2\pi \times 16.4 \]

Step 2: Compute the Value

Calculating the above expression gives: \[ C \approx 103.0442390377452 \, \text{m} \]

Step 3: Round to the Nearest Tenth

Rounding \( 103.0442390377452 \) to the nearest tenth results in: \[ C \approx 103.0 \, \text{m} \]

Final Answer

\(\boxed{C = 103.0 \, \text{m}}\)

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