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The angle of 1' ( minute of arc in radian is nearly equal to?
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The angle of 1' ( minute of arc in radian is nearly equal to?
Minute of Arc in Radian Conversion
Angle of 1' in Radian
To convert an angle of 1 minute of arc into radians, we need to know the relationship between degrees, minutes, and radians.
Relationship between Degrees and Radians
- 1 degree is equal to π/180 radians.
- Therefore, 1 minute of arc (1') is equal to 1/60 degrees.
- Hence, 1 minute of arc is equal to (1/60) * (π/180) radians.
Calculating the Angle in Radians
- Simplifying the above expression, we get 1' in radian as:
- 1' = (1/60) * (π/180)
- 1' = π/10800 radians
Approximation
- When we calculate the precise value of 1' in radians, it is approximately equal to π/10800.
Conclusion
Hence, the angle of 1 minute of arc is approximately equal to π/10800 radians. This conversion is important in various fields such as astronomy, navigation, and surveying. Remembering this relationship can be useful when working with small angles and precise measurements.
Angle of 1' in Radian
To convert an angle of 1 minute of arc into radians, we need to know the relationship between degrees, minutes, and radians.
Relationship between Degrees and Radians
- 1 degree is equal to π/180 radians.
- Therefore, 1 minute of arc (1') is equal to 1/60 degrees.
- Hence, 1 minute of arc is equal to (1/60) * (π/180) radians.
Calculating the Angle in Radians
- Simplifying the above expression, we get 1' in radian as:
- 1' = (1/60) * (π/180)
- 1' = π/10800 radians
Approximation
- When we calculate the precise value of 1' in radians, it is approximately equal to π/10800.
Conclusion
Hence, the angle of 1 minute of arc is approximately equal to π/10800 radians. This conversion is important in various fields such as astronomy, navigation, and surveying. Remembering this relationship can be useful when working with small angles and precise measurements.
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Question Description
The angle of 1' ( minute of arc in radian is nearly equal to? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The angle of 1' ( minute of arc in radian is nearly equal to? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The angle of 1' ( minute of arc in radian is nearly equal to?.
The angle of 1' ( minute of arc in radian is nearly equal to? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The angle of 1' ( minute of arc in radian is nearly equal to? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The angle of 1' ( minute of arc in radian is nearly equal to?.
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