The first trick is to get 12° 28' in fraction or decimal form.
There are two ways:
(1) Since there are 60 minutes in a degree, just use the fraction
button on your calculator to type in 12 and 28 over 60
(2) Use the deg-min-sec button: 12 [ ̊ ' ʺ ] 28 [ ̊ ' ʺ] [ = ]
If you then press the [ ̊ ' ʺ ] button again, you will have it in decimal form.
After that, multiply your answer by π, and divide by 180.
That is because each degree is equal π/180 radians.
1 minute is 1/60 of a degree. So 28' = 28/60°
12 + 28/60 = 12.4666667°
12.4666667° * pi/180 = 0.21758438 radians
Multiply by Ï/180
So
12°28'
= 12° + (28/60)°
= (180/15)° + (7/15)°
= (187/15) x Ï/180
= 187Ï/2700
= 0.217584 (correct to 6 decimal places)
multiply it by pi/180 (i.e., 3.14/180)
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Verified answer
The first trick is to get 12° 28' in fraction or decimal form.
There are two ways:
(1) Since there are 60 minutes in a degree, just use the fraction
button on your calculator to type in 12 and 28 over 60
(2) Use the deg-min-sec button: 12 [ ̊ ' ʺ ] 28 [ ̊ ' ʺ] [ = ]
If you then press the [ ̊ ' ʺ ] button again, you will have it in decimal form.
After that, multiply your answer by π, and divide by 180.
That is because each degree is equal π/180 radians.
1 minute is 1/60 of a degree. So 28' = 28/60°
12 + 28/60 = 12.4666667°
12.4666667° * pi/180 = 0.21758438 radians
Multiply by Ï/180
So
12°28'
= 12° + (28/60)°
= (180/15)° + (7/15)°
= (187/15) x Ï/180
= 187Ï/2700
= 0.217584 (correct to 6 decimal places)
multiply it by pi/180 (i.e., 3.14/180)