Questions: Find the circumference of a circle with a radius of 13 cm. Use π=3.14. Round your answer to the nearest hundredth

Find the circumference of a circle with a radius of 13 cm. Use π=3.14. Round your answer to the nearest hundredth
Transcript text: Find the circumference of a circle with a radius of 13 cm. Use $\boldsymbol{\pi}=3.14$. Round your answer to the nearest hundredth
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Solution

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Solution Steps

To find the circumference of a circle, we use the formula \( C = 2 \pi r \), where \( r \) is the radius of the circle. Given the radius \( r = 13 \) cm and \( \pi = 3.14 \), we can substitute these values into the formula to calculate the circumference. Finally, we round the result to the nearest hundredth.

Step 1: Given Values

We are given the radius of the circle as \( r = 13 \, \text{cm} \) and the value of \( \pi \) as \( 3.14 \).

Step 2: Circumference Formula

The formula for the circumference \( C \) of a circle is given by: \[ C = 2 \pi r \]

Step 3: Substitute Values

Substituting the given values into the formula: \[ C = 2 \times 3.14 \times 13 \]

Step 4: Calculate Circumference

Calculating the above expression: \[ C = 2 \times 3.14 \times 13 = 81.64 \, \text{cm} \]

Step 5: Round to Nearest Hundredth

The circumference rounded to the nearest hundredth is: \[ C \approx 81.64 \, \text{cm} \]

Final Answer

\(\boxed{C = 81.64 \, \text{cm}}\)

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