Engineering Board Exam Reviewer · Spherical Trigonometry · medium

A spherical triangle on a sphere of radius 10 cm has a spherical excess of 30°. Find its area in cm2.

  1. 50 π/3 52.36
  2. 100 π/3 104.72
  3. 25 π/3 26.18
  4. 500 π/3 523.6

Answer

A. 50 π/3 52.36

Solution

Area=E,R2 with E in radians: π/6(10)2=50π/3 52.36 cm2.

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