Off Topic — HabitableZone

Off Topic » in reply to I used geometry, not trig...

What is "rad-5"?

All calculations are rounded off to 4 significant figures

I've never heard the term "rad-5"? You probably mean "radical 5", or the square root of 5, which is approx 2.236.

The sine of 60 degrees equals approx 0.8660.

4/radical 5 = 1.789 (approx)
2/radical 5 = 0.8944 (approx)

By "rad" do you mean "radian"? A radian is a unit of angular measure equal to approximately 57.30 degrees. there are pi radians in 180 degrees, 2pi radians in a complete circle.

A radian is that length of the circumference of a circle equal in length to the radius of the circle. So if you have a circle of radius 1 foot, and you cut out a 1 radian piece out of the circumference, that piece will also be a foot long after you straighten it out.

A good way to think about radians is "how much fencing does it take to enclose a circular corral of radius R meters?" Answer: 2 x pi x R meters of fence, or about 6.283 x R meters. How long is exactly 1 radian of fence: Answer: R meters.

Degrees were invented by the Babylonians because they thought the year was exactly 360 days long. Radians are the logical unit to measure angles with.

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