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The second hand on a clock is 8 \text{ cm}8 cm8, start text, space, c, m, end text long. What is the distance the tip of the second hand travels in 101010 minutes? Round your answer to the nearest \text{cm}cmstart text, c, m, end text.

Respuesta :

Answer:

502

Step-by-step explanation:

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Answer:

502 cm

Step-by-step explanation:

The tip of the second hand travels along the circumference of a circle with radius equal to the length of the second hand.

We can use the formula C=2Ï€r to find the circumference of the circle traced by the tip of the second hand.

C=2Ï€8

C=2Ï€(8)

C=16Ï€

The circumference is 16Ï€ cm.

We can think about the relationship between distance and circumference like this:

distance = circumference x number of revolutions

The second hand of a clock makes a full revolution every minute, so we know that the second hand revolves 10 times in 10 minutes.

 

16π × 10  = 160π

≈160×3.14

≈502.4

≈502

The tip of the second hand travels 502 cm in 10 minutes.

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