How we can convert degree measures to radians?

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MoyraTyro

Asked: March 30, 20212021-03-30T07:19:14+00:00 2021-03-30T07:19:14+00:00In: Arithmetic, Numbers and Combinatorics, High School/Senior Secondary School

How we can convert degree measures to radians?

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convert 122^o 37′ to radians.

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acedstud · Accepted Answer · 2021-03-30T08:04:26+00:00

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acedstud

2021-03-30T08:04:26+00:00Added an answer on March 30, 2021 at 8:04 am

This answer was edited.

To convert an angle from degree to radians (in terms of $\pi$ ), we use the formula $\text{Angle in radians}=\dfrac{\text{Angle in degrees}\times\pi}{180^o}$ .

Given $122^o 37'$ , we first convert 37′ to decimals by dividing it by 60. So, $37'=(\dfrac{37'}{60'})^o=0.6167^o$ . Thus, $122^o 37'=122.6167^o$ .

Therefore, $122.6167^o\equiv\dfrac{122.6167^o\times\pi}{180^o}=0.6812\pi\approx2.14$ radians.

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How we can convert degree measures to radians?

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