## waheguru 2 years ago How do we convert degrees to rad and rad to degrees?

1. TuringTest

$\pi\text{ radians }=180^{\circ}$

2. waheguru

Yea But what is the formula ?

3. waheguru

For example convert 3pi/4 rad to degrees

4. TuringTest

$x\text{ rad }\times({180^{\circ}\over\pi\text{ rad }})=y^{\circ}$

5. TuringTest

this works because by the formula I first typed we have that$({180^{\circ}\over\pi\text{ rad}})=1$so multiplying a number by that changes nothing to gr from degrees to radians we go the other way and use$({\pi\text{ rad }\over180^{\circ}})=1$

6. TuringTest

go*