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Numerade Educator

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Problem 5 Easy Difficulty

In Europe, surveyors often measure angles in grads. There are 100 grads in one-quarter of a circle. How many grads are in one radian?

Answer

63.7 $\mathrm{grad}$

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CS

Cielito S.

November 22, 2020

CS

Cielito S.

November 22, 2020

CS

Cielito S.

November 22, 2020

Video Transcript

here. We're told that we have this interesting European unit of grads and in 1/4 circle, let's call it a revolution. Because that's where what we're doing in a lot of the other ones of these problems for 1/4 revolution, that's 100 grads. So for a full circle, we just multiply both of these numbers by four. So each revolution we have 400 grads. And if we divide both sides of this equation by to pie raid Ian's, we have still an equivalent expression because we've divided both sides by the same number. But because one revolution and to Pirate Ian's are equal, this is equal to one so we can multiply both sides of that equation that I just boxed in green by radiance. And then we have 400 over to pie. Grad is equal to one red. So when we divide 400 by two pi, we end up getting is 63 0.7. Grads is equivalent to one red, which is what we were asked