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Lostsunrise [7]
3 years ago
7

The arc corresponding to a central angle of 38 in a circle of radius 20 feet measures _____ feet

Mathematics
1 answer:
Anuta_ua [19.1K]3 years ago
4 0
Arc length formula is s = r*theta, where s is the arc length and theta is the angle in radians (not degrees).

Here,  we must convert 38 degrees to radians:

38 deg       pi rad
----------- * ------------- = 0.211 pi radians = 0.663 rad
      1          180 deg

Then the arc length is (20 ft)(0.663 rad) = 13.26 ft
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