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

Ask by Bowman Love. in the United States
Feb 25,2025

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Answer

The circumference of the circle is 103.0 meters.

Solution

Calculate the value by following steps: - step0: Calculate: \(2\pi \times 16.4\) - step1: Multiply the terms: \(32.8\pi \) - step2: Simplify: \(103.044239\) To find the circumference \( C \) of a circle, we use the formula: \[ C = 2 \pi r \] where \( r \) is the radius of the circle. Given that the radius \( r = 16.4 \) m, we can substitute this value into the formula: \[ C = 2 \pi (16.4) \] Calculating this gives us approximately \( 103.044239 \) m. Rounding this to the nearest tenth, the circumference is: \[ C \approx 103.0 \text{ m} \] Thus, the circumference of the circle is **103.0 m**.

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Bonus Knowledge

To find the circumference of a circle, you can use the formula \(C = 2\pi r\), where \(r\) is the radius. Plugging in your radius of 16.4 m, the calculation would be \(C = 2 \times \pi \times 16.4\). When you do the math, you get approximately 102.9 m. So the circumference of the circle, rounded to the nearest tenth, is 102.9 m! Now that you’ve got the circumference down, did you know that circles are everywhere in our daily lives? From pizza pies to the wheels on your car, the concept of a circle influences a surprising number of design choices and engineering calculations. Understanding the math behind circles can help you appreciate the beauty of this shape in real-world applications. Speaking of math, one common mistake in calculating the circumference is forgetting to square the radius when you’re using the area formula instead. Another rookie error is misremembering the value of π. It's essential to use 3.14 or, for more accuracy, 3.14159. So always double-check your values for a perfect round!

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