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A circle has a circumference of \( 1,133.54 \) units. What is the diameter of the circle? Use 3.14 for \( \pi \) and enter your answer as a decima units

Ask by Johnston Sandoval. in the United States
Feb 26,2025

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Answer

The diameter of the circle is 361.0 units.

Solution

The formula for the circumference of a circle is   circumference = π × diameter. We are given:   Circumference = 1,133.54 units   π = 3.14 To find the diameter, rearrange the formula:   diameter = circumference / π Now substitute in the values:   diameter = 1,133.54 / 3.14 Performing the division:   diameter = 361 So, the diameter of the circle is 361.0 units.

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Bonus Knowledge

To find the diameter of the circle, you can use the formula for the circumference of a circle, which is given by \( C = \pi \times d \). Rearranging this formula to solve for the diameter \( d \) gives us \( d = \frac{C}{\pi} \). Substituting the values provided: \[ d = \frac{1,133.54}{3.14} \approx 361.00 \text{ units} \] So, the diameter of the circle is approximately \( 361.00 \) units. Calculating and understanding geometry has a fascinating history! Ancient Greeks like Euclid laid the foundational concepts, and Archimedes was one of the first to calculate the value of π. Fast forward to the Renaissance, when mathematics blossomed across Europe, leading to prominent figures like Galileo and Kepler who introduced new ways to understand circles and their properties. In real-world applications, circles and their measurements are crucial in various fields like engineering, architecture, and manufacturing. Understanding how to calculate circumference and diameter is essential when designing wheels, gears, and even tracks for roller coasters. Whether you're building a bridge or crafting a piece of furniture, these concepts come into play to ensure the circles fit perfectly!

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