The city of Paris, France is completely contained within an almost circular road that goes around the edge. Use the map with its scale to determine the necessary measurements.
Understand the Problem
The question is asking how to utilize the provided map and its scale to determine information related to the city of Paris and the circular road that surrounds it. This likely involves performing calculations based on the scale to derive distances or dimensions relevant to the circular road.
Answer
The circumference of the circular road around Paris is approximately $9.42$ miles.
Answer for screen readers
The circumference of the circular road around Paris is approximately $9.42$ miles.
Steps to Solve
- Understand the scale of the map
The map indicates that 1 inch corresponds to 1 mile. This information is crucial as it allows us to convert measurements taken from the map to real-life distances.
- Determine the diameter of the circular road on the map
Measure the diameter of the circular road from the map. For example, if the diameter measures 3 inches.
- Convert the diameter measurement to miles
Using the scale, convert the diameter from inches to miles. If the diameter is 3 inches:
$$ \text{Diameter in miles} = \text{Diameter in inches} \times 1 \text{ mile/inch} = 3 \text{ miles} $$
- Calculate the circumference of the circular road
To find the circumference of a circle, use the formula:
$$ C = \pi d $$
Substituting the diameter:
$$ C = \pi \times 3 \text{ miles} $$
- Provide the numerical value of the circumference
Calculate the value using an approximation for $\pi \approx 3.14$:
$$ C \approx 3.14 \times 3 \text{ miles} = 9.42 \text{ miles} $$
The circumference of the circular road around Paris is approximately $9.42$ miles.
More Information
The circular road around Paris is known as the Périphérique, an important highway that encircles the city, helping manage traffic flow and access to various neighborhoods.
Tips
- Not using the map scale correctly. Always ensure to convert measurements based on the provided scale.
- Confusing diameter with radius. Remember that radius is half of the diameter.
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