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The radius of a circle is 5.4 in . Find the circumference to the nearest tenth.

Ask by Fleming Adkins. in the United States
Feb 25,2025

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Answer

The circumference is approximately 33.9 inches.

Solution

The formula for the circumference of a circle is C = 2πr. With a radius of 5.4 inches, the calculation is:   C = 2 * π * 5.4 = 10.8π Calculating approximately:   10.8π ≈ 10.8 * 3.1416 ≈ 33.9 inches Thus, the circumference, rounded to the nearest tenth, is 33.9 inches.

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To find the circumference of a circle, you can use the formula \( C = 2\pi r \). With a radius of 5.4 inches, you plug in the values: \( C = 2 \times \pi \times 5.4 \). This gives you approximately \( 33.9 \) inches when calculated (using \( \pi \approx 3.14 \)). So, the circumference rounded to the nearest tenth is 33.9 inches! Circles have been around since ancient times, with the Greeks being some of the first to explore their properties mathematically! The famous mathematician Archimedes was particularly fascinated by circles and made significant advances in understanding their area and circumference. His work laid the groundwork for later mathematicians and advances in geometry, making circles a timeless area of study! Want to put your circle knowledge to the test? Think of everyday objects that are circular, like pizza, clock faces, and wheels! Each of these objects has a circumference that can be calculated using the same formula, C = 2πr. This real-world application helps to illustrate the practical uses of mathematics in designing and understanding everything from transportation to delicious food! Just remember, when calculating circumference, always double-check your radius for any sneaky decimal places!

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