hello!
i have a little question about a trigonometry exercice. and i'm stucked getting the formulas
is it possible to get the angle and the radius of a circle if i have only the arc length and the chord length of these
hello!
i have a little question about a trigonometry exercice. and i'm stucked getting the formulas
is it possible to get the angle and the radius of a circle if i have only the arc length and the chord length of these
Yes.
The circumference of a circle is .
So the arc length is (if the angle is measured in degrees)
or
(if the angle is measured in radians).
Let's assume that the angle is measured in radians.
You can also create an isosceles triangle using the chord and 2 radii.
The angle between them is .
If we call the chord length , then by the Cosine Rule we have
.
Now you have two equations in two unknowns.
Edit: Upon further inspection it doesn't look like these two equations can be solved simultaneously for and .