Questions: What is the diameter? 3.14 in 15.84 in 5 in 10 in

Transcript text: What is the diameter? 3.14 in 15.84 in 5 in 10 in

Solution

Solution Steps

Step 1: Given Circumferences

The circumferences provided are \( C_1 = 3.14 \, \text{in} \), \( C_2 = 15.84 \, \text{in} \), \( C_3 = 5 \, \text{in} \), and \( C_4 = 10 \, \text{in} \).

Step 2: Apply the Diameter Formula

To find the diameter \( D \) for each circumference, we use the formula: \[ D = \frac{C}{\pi} \]

Step 3: Calculate Diameters

Using the formula, we calculate the diameters as follows:

For \( C_1 = 3.14 \, \text{in} \): \[ D_1 = \frac{3.14}{\pi} \approx 0.9995 \, \text{in} \]
For \( C_2 = 15.84 \, \text{in} \): \[ D_2 = \frac{15.84}{\pi} \approx 5.0420 \, \text{in} \]
For \( C_3 = 5 \, \text{in} \): \[ D_3 = \frac{5}{\pi} \approx 1.5915 \, \text{in} \]
For \( C_4 = 10 \, \text{in} \): \[ D_4 = \frac{10}{\pi} \approx 3.1831 \, \text{in} \]

Final Answer

For \( C_1 = 3.14 \, \text{in} \): \( \boxed{D_1 \approx 0.9995 \, \text{in}} \)
For \( C_2 = 15.84 \, \text{in} \): \( \boxed{D_2 \approx 5.0420 \, \text{in}} \)
For \( C_3 = 5 \, \text{in} \): \( \boxed{D_3 \approx 1.5915 \, \text{in}} \)
For \( C_4 = 10 \, \text{in} \): \( \boxed{D_4 \approx 3.1831 \, \text{in}} \)

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