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Meerut is 64km from Delhi. Find the angle (7in degree) subtended at the centre of the earth by the arc joining these two towns. The earth is regarded as a sphere of 6336km radius

Meerut is 64km from Delhi. Find the angle (7in degree) subtended at the centre of the earth by the arc joining these two towns. The earth is regarded as a sphere of 6336km radius 

Grade:11

1 Answers

Arun
25750 Points
5 years ago
We know that   θ      *   2πr    = the perimeter of the arc.
                     360
... r = 6336 (given)
perimeter of the arc = 64 (given)

  θ      *   2πr    =  64
360
  θ      *   2(3.14)(6336)    = 64
360
... θ =       64 * 360         
            2(3.14)(6336)
θ = 0.579 degrees
  = 34.74​ minutes

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