gracienobles gracienobles
  • 17-07-2018
  • Mathematics
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Find the radius of the circle containing 20 degree arc of a circle whose length is 15 Pi meters

Find the radius of the circle containing 20 degree arc of a circle whose length is 15 Pi meters class=

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razorsharptip
razorsharptip razorsharptip
  • 17-07-2018

s = rθ where s is the arc length, r is the radius, and theta is the angle (in radians)


We first have to convert 20 degrees tor radians so we do


20 * pi/180 = pi/9


15pi is the s value (arc length) so we have:


15pi = pi/9 * r


15pi / (pi/9) = r


r = 135m

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