casm0ithajskvalvo
casm0ithajskvalvo casm0ithajskvalvo
  • 22-07-2016
  • Mathematics
contestada

What is the arc length of the subtending arc for an angle of 72 degrees on a circle of radius 4?

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meerkat18
meerkat18 meerkat18
  • 25-07-2016
First, determine the circumference (C) of the circle, the equation,
                                           C = 2πr
Substituting the value or the radius,
                                    C = 2π ( 4) = 8π
The arc length is the product of the circumference and the ratio between the subtended angle and 360. The mathematical expression is already,
                              S = (8π) x (72 / 360) = 0.8π 
Thus, the arc is 0.80π. 
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