Question

If a car travels around the DC beltway, it travels 100.0 km. When a car completes one circle around the DC beltway, how far has it traveled?

Options:
Option 1: 100.0 km
Option 2: 200.0 km
Option 3: 300.0 km
Option 4: 400.0 km

Answer 1

When a car completes one circle around the DC beltway, it travels a distance equal to the circumference of a circle with a radius of 100.0 km, which is approximately 628.318 km.

Step-by-step explanation:

When a car completes one circle around the DC beltway, it travels a distance equal to the circumference of a circle with a radius of 100.0 km. The formula to calculate the circumference of a circle is C = 2πr, where C is the circumference, π is a constant approximately equal to 3.14159, and r is the radius.

Using this formula, the circumference is 2 * 3.14159 * 100.0 km, which is approximately 628.318 km. Therefore, when a car completes one circle around the DC beltway, it travels approximately 628.318 km.

So, the correct option is Option 4: 400.0 km.