The circumference of a circle with radius \( r \) is given by Which of the following is the result of solving the following equation for in terms of \( C \) ?
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The formula for the circumference \( C \) of a circle is \( C = 2\pi r \). If you want to solve this equation for \( r \) in terms of \( C \), you can rearrange the equation as follows: divide both sides by \( 2\pi \), which gives you \( r = \frac{C}{2\pi} \). It’s a neat little problem that links geometry with algebra! This equation doesn’t just work for theoretical math problems; it’s extensively used in real-life scenarios, like designing circular objects, from pizza to packaging. If you know the circumference of a wheel, you can easily calculate its radius, which is essential for ensuring proper fit and function in all sorts of mechanical applications. Isn't it great how twirling circles have such a practical touch in engineering and design?