What is the length, in radians between 0 and 2π, of the arc on a unit circle that subtends an angle measure of 445°?
Enter your answer as a fraction in the boxes in terms of π, please.
I REALLY need help....
length is not measured in radians
445° = 360+85°
so you cannot subtend an angle of 445°
However, radians = degrees * π/180
so figure out what you really want, and convert to radians if needed.
for arc length, s = rθ
yes, 85 degrees 17pi/36
it's the unit circle, so the radius is 1.
THANK YOU!
aced my final cause of u!
is 85 degrees 17pi/36, and the radius 1 or 0.5?
To find the length in radians of the arc subtending an angle measure of 445° on a unit circle, we need to convert 445° to radians.
To convert from degrees to radians, you can use the formula:
radians = (degrees * π) / 180.
Let's plug in the value of 445° into the formula:
radians = (445 * π) / 180.
Now, simplifying the expression:
radians = (445/180) * π.
To write the answer as a fraction in terms of π, we leave the π in the numerator and write the simplified fraction in the denominator:
radians = 445π/180.
Therefore, the length in radians between 0 and 2π of the arc that subtends an angle measure of 445° is 445π/180.