An ice skater skates completely around the two circles shown in the diagram. Each circle
has a diameter of 20 meters.

Since the skater is skating around two circles, and we know that each circle has a diameter of 20 meters, we can calculate the total distance the skater covers.

### Step-by-Step Solution:

1. **Find the radius of each circle**:  
   The radius is half of the diameter. Since the diameter of each circle is 20 meters, the radius of each circle is:
   \[
   \text{Radius} = \frac{20}{2} = 10 \text{ meters}.
   \]

2. **Calculate the circumference of one circle**:  
   The formula for the circumference \( C \) of a circle is:
   \[
   C = 2\pi r,
   \]
   where \( r \) is the radius. Substituting \( r = 10 \text{ meters} \) into the formula:
   \[
   C = 2\pi \times 10 = 20\pi \text{ meters}.
   \]

3. **Total distance around both circles**:  
   Since the skater skates around two identical circles, the total distance is:
   \[
   \text{Total distance} = 2 \times 20\pi = 40\pi \text{ meters}.
   \]

4. **Approximate value**:  
   Using \( \pi \approx 3.1416 \), the total distance is approximately:
   \[
   40\pi \approx 40 \times 3.1416 = 125.664 \text{ meters}.
   \]

### Conclusion:
The ice skater skates a total distance of approximately **125.66 meters** around the two circles.

Would you like further clarification or additional details?

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Here are 5 related questions:

1. How does the formula for the circumference of a circle change if the radius doubles?
2. What would be the skater's total distance if the diameters of the circles were different?
3. How can the distance be expressed in terms of arc length if only part of the circles were skated?
4. What is the area covered by the skater if she skates around only one circle?
5. How does the distance around an ellipse compare to that around a circle?

**Tip**: Remember, for any circular shape, the diameter and radius are key elements to quickly calculate both the circumference and area!

An ice skater skates completely around the two circles shown in the diagram. Each circle has a diameter of 20 meters.

Discover how to calculate the total distance an ice skater covers around two circles, each with a diameter of 20 meters. This problem explains key geometry concepts, including how to find the circumference of a circle and the total distance. Suitable for students in Grades 6-8.

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