Civil Engineering - UPSC Civil Service Exam Questions - Discussion

Discussion Forum : UPSC Civil Service Exam Questions - Section 25 (Q.No. 42)
42.
The difference between the sum of the angles of a plane triangle and the sum of the angles of a spherical triangle is one second when the triangle on the earth surface has an area of about
105 sq.km.
135 sq.km.
159 sq.km.
195 sq.km.
Answer: Option
Explanation:
No answer description is available. Let's discuss.
Discussion:
2 comments Page 1 of 1.

Kumar said:   6 years ago
Can anyone explain it?

Kanabar parth said:   6 years ago
A x 180/ π*R = spherical excess in degrees where R=radius of earth and A=area of a spherical triangle.

Now for spherical excess (E) of 1 sec,
A = π*R^2*E/180x3600 = 195 km2.

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