12/9 pi or 3.83972 radians (rounded)
It is 82 degrees and 12 minutes, as in the question = 82.2 deg = 1.4347 radians.
180 degrees
Convert the degrees to radians. Also, you need the radius, not the diameter. In that case, the distance along the circle is simply the product of the angle, and the radius.
One revolution of the hour hand in 12 hours is 360 degrees. The same number of degrees in a circle.
12/9 pi or 3.83972 radians (rounded)
A full turn is 360° which is equivalent to 2π radians To convert form degrees to radians divided by 360° and multiply by 2π; however 360° = 180°×2, therefore divide by 180° and multiply by π radians. → 75° = 75° ÷ 180° × π radians = 5π/12 radians ≈ 1.31 radians
If you're talking about converting degrees to radians, then 23/12*(pi) radians.
Pi radians is half a circumference, (7/12) pi is a little more than a quarter circle.To convert to degrees, multiply the radians with 180/pi; in this case, the result is 105 degrees.Pi radians is half a circumference, (7/12) pi is a little more than a quarter circle.To convert to degrees, multiply the radians with 180/pi; in this case, the result is 105 degrees.Pi radians is half a circumference, (7/12) pi is a little more than a quarter circle.To convert to degrees, multiply the radians with 180/pi; in this case, the result is 105 degrees.Pi radians is half a circumference, (7/12) pi is a little more than a quarter circle.To convert to degrees, multiply the radians with 180/pi; in this case, the result is 105 degrees.
It is 82 degrees and 12 minutes, as in the question = 82.2 deg = 1.4347 radians.
The Earth rotates 2π radians (360 degrees) every 24 hours. In 5 hours, it would rotate 2π/24 * 5 = π/6 radians.
On the basis that you are familiar with terms such as "tetrakaidecagon" I assume you are mathematically at a stage where angles are measured in radians and not degrees. Then the interior angles of a 14 sided polygon sum to (14-2)*pi radians or 12*pi radians.
There is no logic for degrees. The degrees of a circle were arbitrarily chosen to be 360, probably because of the magic number 12 (used also in seconds, hours, months, dozen, etc.) The logic of radians is that the circumference of a circle is 2 pi r, therefor the radians of a circle is 2 pi, making calculations easy.
180 degrees
180 degrees
Imagine the head bolt is the dial on a clock. The distance between minute marks is 6 degrees. So to turn it 73 degrees you would start at 12 and turn it to 12 1/2 minutes.
Convert the degrees to radians. Also, you need the radius, not the diameter. In that case, the distance along the circle is simply the product of the angle, and the radius.