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If the minute hand is 6 inches long, that means the radius of the circle it forms is 6 inches. the circumference of a circle is found by C = 2*Pi*r. Filling in 6 for r and3.14 for Pi, we get 
C = 2 * 3.14*6 = 37.68 inches. This is the distance the whole way around the circle. 

a) 15 minutes out of 60 is 15/60 = 1/4 of the circle. The distance it travels in 15 minutes is 1/4 x 37.68 or 9.42 inches. 

b) 25 minutes out of 60 is 25/60 = 5/12 of the circle. The distance it travels in 25 minutes is 5/12 x 37.68 or 15.7 inches. 

I hope that helps!!

The far does the tip of the minute hand move is 7.85714 inches.

Given that,

  • The minute hand of a clock is 3 inches long
  • And, the given time period is 25 minutes.

Based on the above information, the calculation is as follows:

[tex]= \frac{25}{60} \times 2\pi \times r\\\\= \frac{25}{60} \times 2\pi \times 3\\\\= 2.5 \times \frac{22}{7}[/tex]

= 7.85714 inches

Therefore we can conclude that the far does the tip of the minute hand move is 7.85714 inches.

Learn more: brainly.com/question/12528769

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