42°57'16 change into radian measure
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The value of 42 degree 57 minute 16 second in radian is 0.7496 radians.
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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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