Can you check my work please?

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.)

My Answer: Part one:
(360degrees/60minutes = 6 degrees per minute.)
1:25 to 1:50 is 25 minutes. 25 x 6 = 150.
150pi/180 = 5pi/6,

Question

sheki9039 sheki9039

09-03-2018
Mathematics

contestada

Can you check my work please?

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.)

My Answer: Part one:
(360degrees/60minutes = 6 degrees per minute.)
1:25 to 1:50 is 25 minutes. 25 x 6 = 150.
150pi/180 = 5pi/6,

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Mindaka Mindaka · Answer 1 · 2018-03-22T17:17:49+01:00

Your answer is correct. Indeed:

- In order to find the degrees per minute, you have to divide the full rotation angle (which is 360deg) by the number of minutes (which is 60):
360deg ÷ 60min = 6 deg/min

- In order to find how many minutes have passed, you subtract the times:
1h50m - 1h25m = 0h25m

- You then find how many degrees correspond to 25minutes:
6 deg/min × 25 min = 150deg

- Lastly, you transform degrees into radiants, through the proportion:
deg : 180 = rad : π
Therefore,
150 : 180 = rad : π
rad = (150×π)/180 = 5π/6