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The minute hand of the clock is 5 inches long. How far does the tip of the minute hand move in 4 full rotations? Calculate your answer using the pi button on your calculator and round to the nearest tenth of an inch.

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TaeKwonDoIsDead

Assuming the clock to be round in shape, we can treat the minute hand length as the radius of the circle.

We want to know the length, in inches, of 4 full rotations.

1 full rotation length is the circumference of the circle with radius 5 (minute hand is radius and has length 5 inches). We use the formula of the circumference of a circle to get length in 1 rotation:

[tex]C=2\pi r\\C=2\pi (5)\\C=10\pi[/tex]

So for 4 full rotations, the length covered is [tex]4*10\pi=40\pi[/tex] inches.

Rounding to nearest tenth of an inch, we have:

[tex]40\pi=125.7[/tex] inches


ANSWER: [tex]40\pi[/tex] or 125.7 inches

jayilych4real

The length which the tip of the minute hand move in 4 full rotations is:

  • 125.7 inches

We are asked to find how far the minute hand would go after four full rotations.

With this in mind, we can see that because the clock is circular, then we would calculate based on the laws of circle radius.

This would make us find the length of one rotation which would be given by the formula:

C=

[tex]2\pi \: r[/tex]

This would give us

[tex]10 \pi[/tex]

Therefore, the length of four full rotations would be:

[tex]40\pi = 125.7 \: inches[/tex]

Therefore, the correct answer is 125.7 inches.

Read more about radius of a circle here:

https://brainly.com/question/12908707