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A circle has a circumference of 113.04 units. What is the diameter of the circle? Use 3.14 for pi and enter your answer as a decimal. units

A circle has a circumference of 113113.0404 units.\newlineWhat is the diameter 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 113113.0404 units.\newlineWhat is the diameter 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 to calculate the circumference CC of a circle is C=πdC = \pi d, where dd is the diameter of the circle and π\pi (pi) is a constant approximately equal to 3.143.14.
  2. Calculate Diameter: Given the circumference of the circle is 113.04113.04 units, we can use the formula to find the diameter by rearranging it to solve for dd: d=Cπ.d = \frac{C}{\pi}.
  3. Substitute Values: Substitute the given values into the formula: d=113.043.14d = \frac{113.04}{3.14}.
  4. Find Diameter: Perform the division to find the diameter: d=113.043.14≈36d = \frac{113.04}{3.14} \approx 36 units.

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