The wheel in g. o unicycle has a circumference of 0.9 yards. how far will he travel if the wheel on his unicycle completes 1,000 rotations

Step-by-step explanation:

How far it travels refers to the arc length of the circular movement.

The arc length is defined as

Where is the angle of rotation and is the radius of the circle.

Now, from the problem we know that the wheel completes 1,000 rotations. We also now that 1 rotation is , this means that 1,000 rotations would be

On the other hand, we know that the circumference is 0.9 yards, that means the radius is half of it, by definition

Replacing all values, we have

But, , then

Therefore, he will travel 2,826 yards approximately, after the wheel completes 1,000 rotations.

step-by-step explanation:

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