Find the central angle Ө (theta) which subtends an arc of length 8 feet of a circle of radius 15 feet
s = r Ө
8 = 15 Ө
8/15 = Ө
Multiply by 180/pi if you want the answer in degrees, get about 30.56 degrees.
Ó¨ in rad = 2Ï*(8/15) = (16/15)*Ï rad = (180/Ï)*[(16/15)*Ï] = 192 degree
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Verified answer
s = r Ө
8 = 15 Ө
8/15 = Ө
Multiply by 180/pi if you want the answer in degrees, get about 30.56 degrees.
Ó¨ in rad = 2Ï*(8/15) = (16/15)*Ï rad = (180/Ï)*[(16/15)*Ï] = 192 degree