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UPSC Civil Service Exam Questions - Engineering

Q1:

If the azimuths of the two tangents to a circular curve of radius 100 m are due north and due east, then the area bounded by the two tangents and the circular curve will be

A 7857 sq. m

B 5000 sq. m

C 3143 sq. m

D 2143 sq. m

ANS:D - 2143 sq. m

Bounded area = r^2 (1-(π/4))
(100)^2 (1-(π/4))=2146m^2.