Calculate the angle of a=1°, b=1', c= 1" in radians.
1 answer:
Answer 1) a=1° = 0.01745329252 radians
Explanation : According to the conversion chart, to convert 1° this formula is used;
<span>radians = degrees × π / 180°
</span>
while solving for, One degree which is equal 0.01745329252 radians:
Explanation : According to the conversion chart, to convert 1° this formula is used;
<span>radians = degrees × π / 180°
</span>
while solving for, One degree which is equal 0.01745329252 radians:
1° = π/180° = 0.005555556π = 0.01745329252 rad
Answer 2) b = 1' = = 0.0002907 radians
Explanation : A minute of arc is π/10800 of radian; which is a measurement unit of angular which is equal to 1/60 of 1° degree.
So substituting the value of 1° as and on solving we get,
0.01745/60 = 0.0002907 radians.
A minute of arc is <span>π/<span>10800</span></span><span> of a </span>radian.
Answer 3) C= 1'' = 4.8481
Explanation - When calculating second of arc which is considered to be 1/60 of an arc minute, and 1/3600 of a degree;
So all these are inter-related units which can be calculated if any one value is given;
<span>on solving we get, </span>π/648000 (about 1/206265) of a radian = 4.8481 XYou might be interested in
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