problem

[greg2877]

which is greater? 1 degree or one radian?

 

[stapel]

What do you know about degrees versus radians?

Thank you.

Eliz.

 

[greg2877]

I know one degree is equal to one second. And I know there are 6 radians in a 360 degree circle. I put the numbers into my calc and come up with 2 answers. but the teacher said. they were close in relationship and the answers I came up with were no where near close

 

[Gene]

You are close. There are 2*pi radians in a circle and that = 360°. I don't think you understood what the teacher said.
To change degrees to radians you multiply by exactly 2*pi/360 = about 0.0175. 57.3 degrees is about 1 radian so a radian is much bigger. That (57.3 = 360/(2*pi)) is what you multiply radians by to change to degrees.

BTW: 1 degree is = 60 minutes and 1 minute is = 60 seconds like 1 foot is = 12 inches.

 

[stapel]

I know one degree is equal to one second.

No. One minute is one-sixtieth of one degree, and one second is one-sixtieth of one minute. That is, the full circle is divided into 360°, each degree is further subdivided into sixty minutes, and each minute is further subdivided into sixty seconds.

I know there are 6 radians in a 360 degree circle.

No. There are 2(pi) radians in a 360° circle, or about 6.283185... radians in a circle.

I put the numbers into my calc and come up with 2 answers.

Which numbers? Please clarify this step.

....the teacher said. they were close in relationship

Things can have close relationships without being at all "equal" in size. You might want to consider what each is used to measure, with respect to circles and angles and such, rather than the absolute sizes of each unit.

Eliz.