Celia is staring at the clock waiting for school to end so that she can go to track practice. She notices that the 4-inch-long minute hand is rotating around the clock and marking off time like degrees on a unit circle.Part 1: How many radians does the minute hand move from 1:25 to 1:50? (Hint: Find the number of degrees per minute first.)

Answers

Answer 1
Answer:

Answer:

The minute hand moves (5\pi)/(6) radians.

Step by step explanation:

We know that measure of complete circle is 360 degrees.

In a clock a complete circle means 60 minutes.

60\text{ min }=360^(\circ)

1\text{ min }=(360)/(60)=6^(\circ)

The minute hand move from 1:25 to 1:50, it means the minute have cover 25 minutes.

25\text{ min }=(6* 25)^(\circ)

25\text{ min }=150^(\circ)

Therefore minute hand moves 150 degree.

Multiply (\pi)/(180) to convert degree into radian.

150* (\pi)/(180)=(5\pi)/(6)

Therefore the minute hand moves (5\pi)/(6) radians.

Answer 2
Answer: How many radians does the minute hand move from 1:25 to 1:50? 

Calculations are done as follows:

360 ° /60 minutes = 6° per minute
1:25 to 1:50 = 25 minutes

 25 minutes x 6
° per minute = 150°
150
° (π/180) = 5π/6

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