- What, exactly, is a radian? How would you explain a radian to someone that had no clue?
A radian is a set degree of a circle that is corresponding to the idea that 180°=π , so in terms of finding a radian through a degree you look to the equation = π/180°. - How do radians and the unit circle relate?
Radians and the Unit Circle are related, because the Unit Circle lists the degrees and in finding the Radians you would use the formula = π/180°.
- How does the formula for circumference of a circle and radian measure relate?
C=2πr;is the Circumference formula and the Radian Measure for 360°=2π, so Circumference is taking the measure 360° and multiplying it by the radius. - How do radians relate to degrees? Which do you prefer and why? Which seems more mathematically “pure”?