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A circle has a circumference of 153.86 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 153153.8686 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 153153.8686 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. Use Circumference Formula: To find the radius, use the circumference formula C=2×π×rC = 2 \times \pi \times r, where CC is the circumference and rr is the radius.
  2. Rearrange to Solve for r: Rearrange the formula to solve for r: r=C2πr = \frac{C}{2 \pi}.
  3. Plug in Given Values: Plug in the given values: r=153.862×3.14r = \frac{153.86}{2 \times 3.14}.
  4. Calculate the Radius: Calculate the radius: r=153.866.28r = \frac{153.86}{6.28}.
  5. Perform Division: Perform the division: r≈24.5r \approx 24.5.

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