When we know the number of radians in π form, we can convert to degrees by letting 180^(∘) equal π.
See solution.
Practice makes perfect
When we know the number of radians in π form, we can convert to degrees by letting 180^(∘) equal π.
Converting from degrees to radians
If we divide both sides of our equation by 180^(∘), we get a new equation that describes the number of radians that 1^(∘) represents.
180^(∘)=π rad ⇔ 1^(∘) = π/180^(∘) rad
Now we can multiply both sides of this equation by an arbitrary number of degrees to determine how many radians that number of degrees is equal to. Let's determine the number of radians that 90^(∘) equals.
If we multiply a given number of degrees by π180^(∘), we get the corresponding number of radians.
Converting from radian to degrees
If we divide both sides of the equation by π, we get a new equation that describes the number degrees that 1 radian represents.
180^(∘)=π rad ⇔ 180^(∘)/π = 1 rad
If we multiply both sides of this equation by an arbitrary number of radians, we can determine how many degrees it is equal to. Let's determine the number of degrees that 6 radians equal.
