Subjects geometry

Circle Diameter B07E88

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Question: The circumference of a circular track is 62.8 meters. Which equation could you use to determine the diameter of the track?
1. **State the problem:** We need to find an equation to determine the diameter of a circular track given its circumference of $62.8$ meters. 2. **Recall the formula for circumference:** The circumference $C$ of a circle is related to its diameter $d$ by the formula: $$C = \pi d$$ where $\pi$ (pi) is approximately $3.14$. 3. **Set up the equation:** Since the circumference is given as $62.8$, substitute $C = 62.8$ into the formula: $$62.8 = \pi d$$ 4. **Explain the equation:** This equation can be used to solve for the diameter $d$ by dividing both sides by $\pi$: $$d = \frac{62.8}{\pi}$$ 5. **Summary:** The equation to determine the diameter of the track is: $$62.8 = \pi d$$ or equivalently, $$d = \frac{62.8}{\pi}$$ This equation allows you to find the diameter when the circumference is known.