SOLUTION: on a circle of radius 6 ft what angle in degrees would subtend an arc of length 3 ft

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Question 711294: on a circle of radius 6 ft what angle in degrees would subtend an arc of length 3 ft
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Arc Length = (angle/360)*(Circumference)


Arc Length = (angle/360)*(2*pi*r)


3 = (angle/360)*(2*pi*6)


3 = (angle/360)*(12pi)


3/(12pi) = angle/360


(3/(12pi))*360 = angle


90/pi = angle


Angle = 90/pi ... exact angle (in degrees)


Angle = 28.6478897565411 ... approximate angle (in degrees)