Question

Convert into radians measure. (i) 225grade 27'38" (ii) 125°30'​

Answer 1

Step-by-step explanation:

125.30 answer he Bhai

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Answer 2

The converted radians measure are i)3.93827 rad and ii)ii)2.19126 rad

Given:

i) 225°27'38"

ii) 125°30'

To Find:

Convert the given degree minutes and seconds into radians.

Solution:

To convert the given Degree Minutes and Seconds value into radians, first, the DMS value should be converted into decimal form.

Later, the converted decimal form is multiplied with π/180 to get the values in radians. Mathematically, the formula is given by

Radians  = π $\frac{\\(d + \frac{m}{60} +\frac{s}{3600})}{180}$

Therefore, on applying the formula we get

i) Radians = π $\frac{225 + \frac{27}{60}+\frac{38}{3600} }{180}$

                = π $\frac{225+0.45+0.0106}{180}$

                = π(225.556/180)

                = 1.2531π

                = 3.93827 rad

ii) Radians = π $\frac{125 + \frac{30}{60} }{180}$

                 = π(125.5/180)

                 = 0.6972π

                 = 2.19126 rad

Therefore, the converted values from Degrees Minutes Seconds to Radians are i)3.93827 rad and ii)2.19126 rad

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