QR central angle question

[Shockas]

I've read some places that "the measure of a central angle equals the intercepted arc" and I've read other places that "the measure of a central angle times the radius equals the intercepted arc". Which is true?

I have a feeling that they both may be true but one has to do with degrees and one with radians...? Why is this?

Can anyone explain???????

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[ZFT]

for central angles:

angular measurement in radians x radius = arc length

i am not sure i understand you first statement about the intercepted arc, but generally in mathematics, the radian is the absolute measurement whereas the degree is considered circular "12 o'clock" mathematics (as opposed to linear "number line" mathematics).

Generally you wouldn't use the degree measurement directly in a calculation unless the degree units cancelled out, such as in a ratio calculation.

The above formula would not work with in degrees because it would be inconsistent to multiply the radius (which is measured in absolute units) with angles measured in circular units.