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A circle has a circumference of 452.16 units. What is the radius of the circle? Use 3.14 for pi and enter your answer as a decimal. units

A circle has a circumference of 452452.1616 units.\newlineWhat is the radius of the circle? Use 33.1414 for π \pi and enter your answer as a decimal.\newline□\square units

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Full solution

Q. A circle has a circumference of 452452.1616 units.\newlineWhat is the radius of the circle? Use 33.1414 for π \pi and enter your answer as a decimal.\newline□\square units
  1. Circle Circumference Formula: The formula for the circumference of a circle is C=2×π×rC = 2 \times \pi \times r, where CC is the circumference, π\pi is 3.143.14, and rr is the radius.
  2. Rearrange for Radius: Rearrange the formula to solve for the radius: r=C2πr = \frac{C}{2 \pi}.
  3. Plug in Values: Plug in the given values: r=452.162×3.14.r = \frac{452.16}{2 \times 3.14}.
  4. Calculate Radius: Calculate the radius: r=452.166.28r = \frac{452.16}{6.28}.
  5. Perform Division: Perform the division: r≈72.0r \approx 72.0.

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