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The circumference of a circle is 106.76 meters. What is the circle's diameter? Use \( \pi \approx 3.14 \) and round your answer to the nearest hundredth. meters

Ask by Warren Schmidt. in the United States
Feb 26,2025

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Answer

The diameter of the circle is 34.00 meters.

Solution

The circumference (C) of a circle is given by the formula C = πd, where d is the diameter. Given that C = 106.76 meters and π ≈ 3.14, we can solve for d:   d = C / π = 106.76 / 3.14 Doing the division, we find:   d = 34.00 meters Thus, the diameter of the circle is 34.00 meters.

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Beyond the Answer

To find the diameter of the circle, you can use the formula for the circumference, which is \( C = \pi \times d \). Rearranging this gives us \( d = \frac{C}{\pi} \). Plugging in the given circumference of 106.76 meters and using \( \pi \approx 3.14 \), the calculation becomes: \[ d = \frac{106.76}{3.14} \approx 34.00 \, \text{meters} \] So, the diameter of the circle is approximately 34.00 meters. Now, imagine you're at a park, measuring out a perfect circular garden. Understanding how to find the diameter from the circumference means you’ll be able to create a stunning design that impresses your friends—time to show off those math skills with some creative landscaping! If you're looking to dive deeper into the world of circles, try measuring both the radius and diameter of circular objects around you—think pizza, coins, or even those cool wheel rims! Create a mini project to compare your findings, and soon enough, you’ll be a circular area expert.

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