Pregunta
Score: \( 1 / 5 \) Penalty: none Question The radius of a circle is 9.5 in. Find the circumference to the nearest tenth. Answer Attempt 2 out of 2
Ask by Chadwick Barber. in the United States
Mar 14,2025
Solución de inteligencia artificial de Upstudy
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The circumference of the circle is approximately 59.7 inches.
Solución
Given that the radius of the circle is 9.5 inches, we can find the circumference of the circle using the formula:
\[ C = 2\pi r \]
where:
- \( C \) is the circumference of the circle,
- \( \pi \) is a mathematical constant approximately equal to 3.14159,
- \( r \) is the radius of the circle.
Substitute the given radius into the formula to find the circumference:
\[ C = 2\pi \times 9.5 \]
Now, we can calculate the circumference to the nearest tenth.
Calculate the value by following steps:
- step0: Calculate:
\(2\pi \times 9.5\)
- step1: Multiply the terms:
\(19\pi \)
The circumference of the circle is approximately 59.69026 inches.
Therefore, the circumference to the nearest tenth is 59.7 inches.
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Simplifique esta solución Extra Insights
To find the circumference of a circle, you can use the formula \( C = 2\pi r \). With a radius \( r \) of 9.5 inches, the calculation would be \( C = 2 \times \pi \times 9.5 \). Using \( \pi \approx 3.14 \), we get \( C \approx 2 \times 3.14 \times 9.5 \approx 59.7 \) inches when rounded to the nearest tenth. If you ever find yourself needing to remember the circumference formula, think about a bicycle wheel. The larger the wheel (or radius), the further you go with each turn! It’s a fun way to visualize how circumference works in action during a ride around the park.
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