Angles Formulas at the center of a circle can be expressed as, Central angle, θ = (Arc length × 360º)/(2πr) degrees or Central angle, θ = Arc length/r radians, where r is the radius of the circle.
So to find this angle. We can use the formula of the inverse tangent of the opposite over theMoreSo to find this angle. We can use the formula of the inverse tangent of the opposite over the adjacent. And opposite is there's this side right here and adjacent is this side right here.
The measure of an arc angle is found by dividing that arc length by the circle's circumference, then multiplying by 360 degrees.
It is done by adding or subtracting 360° or 2π from the given angle as many times as required. So, in the case of 500°, if we subtract 360° from it, we will get 500° - 360° = 140°.