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Grade 11Trigonometry

A rail road curve is to be laid out on a circle. If the track is to change its direction by 28 degrees in a dist. of 44 m then the radius of the curve is?
ans:d = 2πrθ/360
=> 44 = 56πr/360
=>r = (360*44)/56π
=>r = (360*44*7)/56*22
=>r = 90m
in this solution derive for:
d = 2πrθ/360

Profile image of Purva Agrawal
8 Years agoGrade 11
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1 Answer

Profile image of Deepak Kumar Shringi
ApprovedApproved Tutor Answer8 Years ago
we aleady know that
d=rθ hereθ is in radian and
360=2π radian
1 =2π/360
just convert this radian in degree now