Question

Alex rode this penny farthing the big wheel completed 7 full rotations how far did Alex ride?

Answer 1

Alex rode a distance equal to the circumference of the big wheel, which is calculated as the product of the wheel's diameter and the number of rotations.

Step-by-step explanation:

The distance Alex rode on the penny farthing can be determined by finding the circumference of the big wheel. The formula for the circumference of a circle is C = π * d, where C is the circumference and d is the diameter.

In this case, the diameter is the size of the big wheel. Since the big wheel completed 7 full rotations, the total distance covered by Alex is given by the formula: Distance = 7 * π * d.

Now, let's delve into the specifics. The number π (pi) is a mathematical constant representing the ratio of a circle's circumference to its diameter. It is approximately 3.14159.

When multiplied by the diameter of the big wheel, it gives the distance traveled in one rotation. Multiplying this value by the number of rotations (7 in this case) yields the total distance covered.

In summary, the formula encapsulates the idea that each rotation contributes an additional circumference to the overall distance. The result is the precise measurement of how far Alex rode on the penny farthing with the big wheel completing 7 full rotations.

Answer 2

Alex rode approximately 14π meters on the penny farthing.

To determine how far Alex rode on the penny farthing, we need to consider the circumference of the big wheel. The circumference is the distance around the outside of a circle.

To find the circumference, we can use the formula: circumference = 2πr, where π is a mathematical constant (approximately equal to 3.14) and r is the radius of the wheel.

Since the big wheel completed 7 full rotations, we can multiply the circumference by 7 to find the total distance Alex rode.

Let's say the radius of the big wheel is 1 meter.

The circumference of the wheel would be 2π(1) = 2π meters.

To find the total distance Alex rode, we multiply the circumference by 7: 2π * 7 = 14π meters.