The question involves measuring the circumference of a circle. The choice of units is very important.
Simple case: 360 degrees. The unit "degree" is undefined. 360 is off by about 4.7%, (since there are ~ 365.2564 days in a year).
Real world: The circumference is equal to the number "Pi" multiplied by the diameter.
Answer: Multiply the diameter times 3.14159 (
π). If the diameter is one, then the answer is 3.14159.Examples:
If a circle has a diameter of one centimeter, than the distance around the circle
is 3.14159 centimeters.
A degree is always a relative unit, and never absolute.
For an equilateral triangle with a length of one, the arclength is π/3.
so degrees can be converted to radians, one radian equals 57.29 degrees.
Mathematics: Transcendental numbers. Derivation and Determination of Pi.
A geometrical animation of how to use angles measured in radians to measure distances around a circle is provided.
