1.

If length of arc is 40 cm and radius of circle of arc is 10 cm then find the angle made by the arc.(a) 720°(b) 240°51’53”(c) 229°10’59”(d) 233°11’48”This question was addressed to me during an online interview.My query is from Trigonometric Functions in chapter Trigonometric Functions of Mathematics – Class 11

Answer»

The CORRECT CHOICE is (c) 229°10’59”

Explanation: We know, Angle=Arc length/Radius

Angle = 40/10 = 4 radians

π radians = 180 DEGREES

1 radian = 180/π degrees

4 radians = 720/π degrees = 229.183° = 229° (0.183*60)’ = 229°(10.98)’= 229°10’59”.



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