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Question The circumference of a circle is \( 18 \pi \mathrm{~m} \). Find its radius, in meters. Answer Attempt 1 out of 2 \( r=\square \mathrm{m} \)

Ask by Fleming Lane. in the United States
Mar 14,2025

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The radius is 9 meters.

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The Deep Dive

To find the radius of a circle given its circumference, we can use the formula for the circumference: \( C = 2\pi r \). Given that \( C = 18\pi \mathrm{~m} \), we can set up the equation: \[ 2\pi r = 18\pi \] Now, dividing both sides by \( 2\pi \): \[ r = \frac{18\pi}{2\pi} = 9 \mathrm{~m} \] So the radius is \( 9 \mathrm{~m} \). To put this into context, understanding the relationship between the circumference and the radius of a circle is essential in various fields, especially engineering and architecture. Whether you're designing a circular park or calculating the amount of materials needed for a round fountain, knowing how these dimensions interact will help streamline your projects and save time. In everyday life, you often encounter circles more than you realize! From bicycles and pizza to clocks and steering wheels, circles are all around us. Knowing how to calculate their radius from the circumference can help you make quick mental estimates—like figuring out how many slices of pizza you can get from that delicious round pie based on its size.

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