The minute hand of a clock is 6 inches long and moves from 12 to 4 o'clock. How far does the tip of the minute hand move? Express your answer in terms of pi, then round two decimal places.

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The minute hand of a clock is 6 inches long and moves from 12 to 4 o&#039;clock. How far does the tip of the minute hand move? Express your answer in terms of pi, then round two decimal places.

beentjie8e · Accepted Answer

As the minute hand moves around the clock its tip forms a circle of radius = 6 in. The circumference of this circle is:circumference   =  2  π  r  =  2  π (6in.)  =  12  π in.The clock is divided into 12 equal sections. When the minute handmoves from 12 to 4 it moves 4 sections. So it has moved 4/12ths ofthe circumference of the circle. This reduces to 1/3rd of thecircumference of the circle.  (  1      /    3  )  ×  (  12  π     i  n  .  )  =  4  π  i  n  .So the answer...a)   4  π in.b) 12.5664 in. = 12.57 in.

ljudskija7s · Accepted Answer

So the formula is:     s  =  r  θThere is six divisions in the 180 degree of the clock (from 12 to 6). So 12 to 4 would be 120 degrees.  r  =  6           θ  =  2  π      /    3so   6  (  2  π      /    3  )  ∼  12.566 in

The minute hand of a clock is 6 inches long and moves from 12 to 4 o'clock. How far does the tip of the minute hand move? Express your answer in terms of pi, then round two decimal places.

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