Question

prove that 1 degree= 60 minute.

Answer 1

Given:

1 degree (1°)

To prove:

1° = 60 minutes

Solution:

• We know that a degree is traditionally divided into 60 parts.

• These parts are called minutes.

• 1°  is an angle made by needles or hands of hour, a minute on a clock.

• The hour needle sweeps an angle of 360° angle 24 hours that too 2 times.

• Therefore, 1° = 2 x 360 / 12

• Thus, 1° is equal to 60 minutes.

• Hence proved.

Answer 2

Answer:

1 degree = 60 minutes

Step-by-step explanation:

degree is traditionally divided into 60 parts called “minutes”, each minute is divided into 60 parts called “seconds”. To distinguish from the time units, which are of course unrelated, you can also call those divisions arc-minutes, and arc-seconds.

And we can also say this in Mathematical terms that:

1 degree=60 minutes

We also know that :

1 minute=60 seconds

it means:

1 degree = (60*60)=3600 seconds

It means that minutes are the smaller unit for measurements of angle in “D.M.S system” than the degree and seconds are definitely even smaller than minutes.

D.M.S system = Degree, minutes and seconds system.