Calculate the length of the arc intercepted by a central angle $ heta $ on a unit circle
Answer 1
Olivia Lee
To calculate the length of the arc intercepted by a central angle $ \theta $ on a unit circle, you can use the formula:
$ s = r \theta $
Since the radius $ r $ of the unit circle is 1, the formula simplifies to:
$ s = \theta $
Thus, the length of the arc is:
$ s = \theta $
Answer 2
Thomas Walker
To find the arc length $ s $ on a unit circle for a central angle $ heta $, we use the formula:
$ s = r heta $
Given that the radius $ r $ is 1, the arc length becomes:
$ s = heta $
Answer 3
Samuel Scott
For a central angle $ heta $ on a unit circle, the arc length $ s $ is:
$ s = heta $
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