Question The circumference of a circle is \( 14 \pi \mathrm{~m} \). Find its diameter, in meters. Answer Attempt 1 out of 2 \( d=\square \mathrm{m} \) Submit Answer
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To find the diameter of the circle when given the circumference, you can use the formula for circumference, which is \( C = \pi d \). Here, since we know the circumference is \( 14 \pi \), we can set up the equation: \[ 14 \pi = \pi d \] Now, divide both sides by \( \pi \) to solve for \( d \): \[ d = 14 \, \text{m} \] The diameter of the circle is \( 14 \, \text{m} \). Did you know that in ancient Greece, circles were deemed perfect shapes, embodying symmetry and balance? Scholars like Euclid studied their properties, and they believed understanding these shapes could help unlock the universe's secrets! This fascination laid the groundwork for modern geometry. Circles are not just theoretical concepts. They play a critical role in real-world applications! For instance, engineers use circular designs in gears to ensure smooth motion in machines, and urban planners often incorporate circular layouts in designing roundabouts for safer road systems. Understanding circles enriches engineering, architecture, and even art!
