To solve each of your questions, let’s break them down step by step, one at a time.
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Finding the approximate circumference of a circle with a radius of 12: The formula to calculate the circumference \(C\) of a circle is: \[ C = 2\pi r \] Given that \(r = 12\) and using \( \pi \approx 3.14 \): \[ C \approx 2 \cdot 3.14 \cdot 12 \] Calculating that: \[ C \approx 2 \cdot 3.14 \cdot 12 = 6.28 \cdot 12 = 75.36 \] So the correct response is: 75.36
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Finding the approximate circumference of a circle with a radius of 450: Again using the same circumference formula \(C = 2\pi r\): \[ C \approx 2 \cdot 3.14 \cdot 450 \] This is already in one of the options provided. We can represent it as: \[ C \approx 2 \cdot 3.14 \cdot 450 \] Therefore, the correct response here is: C ≈ 2⋅3.14⋅450
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Which formula correctly describes the proportional relationship between the circumference of a circle and the diameter?: The correct formula that describes the relationship between the circumference \(C\) and the diameter \(d\) is: \[ C = \pi d \] Therefore, from the options given, the correct response is: C = πd
To summarize:
- 75.36
- C ≈ 2⋅3.14⋅450
- C = πd