Math, asked by AnkurPathak7231, 7 months ago

42°57'16 change into radian measure

Answers

Answered by kahkashankhurshid200
0

Answer:

The value of 42 degree 57 minute 16 second in radian is 0.7496 radians.

Answered by dhruv219m
0

Answer:

Step-by-step explanation:To convert 42 degrees, 57 minutes, and 16 seconds to radian measure, we can use the formula:

radian measure = degree measure × (π/180)

where π (pi) is approximately 3.14159.

First, we need to convert the minutes and seconds to decimal form:

57 minutes = 57/60 = 0.95

16 seconds = 16/3600 = 0.0044

Then, we can add up the degrees, minutes, and seconds in decimal form to get the total degree measure:

42 + 0.95/60 + 0.0044/3600 ≈ 42.9544

Finally, we can use the formula to convert the degree measure to radian measure:

radian measure = 42.9544 × (π/180) ≈ 0.7503

Therefore, 42 degrees, 57 minutes, and 16 seconds is approximately equal to 0.7503 radians when expressed in radian measure.

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