Questions: The circumference of a circle is 25.12 yards. What is the circle's diameter? Use π ≈ 3.14 and round your answer to the nearest hundredth.

The circumference of a circle is 25.12 yards. What is the circle's diameter? Use π ≈ 3.14 and round your answer to the nearest hundredth.
Transcript text: The circumference of a circle is 25.12 yards. What is the circle's diameter? Use $\pi \approx 3.14$ and round your answer to the nearest hundredth.
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Solution

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Solution Steps

Step 1: Formula

The formula for the circumference of a circle is $C = \pi d$, where $C$ is the circumference and $d$ is the diameter.

Step 2: Substitute and solve for d

Given $C = 25.12$ yards and $\pi \approx 3.14$, we can substitute these values into the formula: $25.12 = 3.14d$ To solve for $d$, divide both sides of the equation by 3.14: $d = \frac{25.12}{3.14}$ $d = 8$

Final Answer

8 yards

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