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Suppose the tip of the minute hand of a clock is 2 in. from the center of the clock. For the duration, determine the distance traveled by the tip of the minute hand.4.5 hrThe distance traveled by the tip of the minute hand is?

Suppose The Tip Of The Minute Hand Of A Clock Is 2 In From The Center Of The Clock For The Duration Determine The Distance Traveled By The Tip Of The Minute Han class=

Sagot :

Given:

The minute hand of clock is 2 inches long so the radius is 2 inches

Required:

We need to find the distance traveled by the tip of minute hand after 4.5 hours

Explanation:

4.5 hours means minute hand travel 4.5 times the whole clock and the perimeter of clock is

[tex]p=2\pi r[/tex]

but p is for only 1 hour

here we need for 4.5 hours so required perimeter is

[tex]P=4.5*2\pi r[/tex]

substitute the value of r

[tex]P=4.5*2*3.14*2=56.52\text{ in}[/tex]

Final answer:

The distance traveled by the tip of the minute hand is 56.52 inches