Questions: Find the circumference of the circle pictured above. Round your answer to the nearest hundredth.

Find the circumference of the circle pictured above. Round your answer to the nearest hundredth.
Transcript text: Find the circumference of the circle pictured above. Round your answer to the nearest hundredth.
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Solution

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Solution Steps

Step 1: Identify the given information

The image shows a circle with a chord of length 4. This chord appears to be the radius of the circle.

Step 2: State the formula for the circumference of a circle

The formula for the circumference \(C\) of a circle with radius \(r\) is given by \(C = 2 \pi r\).

Step 3: Substitute the given value into the formula

The radius is \(r=4\). Substituting this value into the circumference formula: \(C = 2 \pi (4)\)

Step 4: Calculate the circumference

\(C = 8\pi\)

Step 5: Approximate the circumference

Using the approximation \(\pi \approx 3.14159\), we have \(C \approx 8(3.14159) \approx 25.13272\)

Step 6: Round the answer to the nearest hundredth

Rounding to the nearest hundredth gives \(C \approx 25.13\)

Final Answer The final answer is $\boxed{25.13}$

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