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A circle has a circumference of
1,017.36 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 $1,017.36$ units. $\newline$ What is the radius of the circle? Use $3$ . $14$ for $\pi$ and enter your answer as a decimal. $\newline$ $\square$ units

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Weighted averages: word problems

Full solution

Q. A circle has a circumference of

1,017.36

units.

\newline

What is the radius of the circle? Use

3

.

14

for

\pi

and enter your answer as a decimal.

\newline

\square

units

Question Prompt: The question_prompt: What is the radius of the circle with a circumference of $1,017.36$ units using $3.14$ for $\pi$ ?
Formula for Circumference: The formula to calculate the circumference $C$ of a circle is $C = 2 \times \pi \times r$ , where $r$ is the radius of the circle and $\pi$ is a constant approximately equal to $3.14$ .
Given Circumference and Radius: We are given the circumference, $C = 1,017.36$ units, and we need to find the radius, $r$ . We can rearrange the formula to solve for $r$ : $r = \frac{C}{2 \cdot \pi}.$
Substitute Values: Substitute the given values into the rearranged formula: $r = \frac{1,017.36}{2 \times 3.14}.$
Perform Calculation: Perform the calculation: $r = \frac{1,017.36}{6.28}.$
Calculate Division: Calculate the division: $r \approx 162.0$ units.

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