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A wheel has a radius of 16 in. After 1000 rotations, how far has the wheel traveled? Use 3.14 for π.
Distance = _______ inches

Sagot :

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Answer: 100,480 in. or 8398.23 ft.

Step-by-step explanation: In identifying the distance in terms of how far the wheel traveled, we must solve for the circumference, then multiply the product by the number of rotations.

Circumference (C) = 2πr

In this formula, r symbolizes the radius. Now to solve:

C = 2(π)(16)

C = 32π inches

Then, we multiply this by 1,000:

Distance (D) = 32π × 1,000 = 32,000π inches

Hence, after 1,000 rotations, the wheel has traveled 32,000π inches, or approximately 8,398.23 feet.

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