Answer:
The answer is below
Explanation:
The question is not complete because the choices are not given, but I would show you how to answer the question.
The length of an arc with a subtended central angle θ and a radius r is given by:
Length of arc = θ/360 × 2πr
But this is equation is used when θ is in degrees. If θ is in radians, then the length of the arc is given by:
Length of arc = θ/2π × 2πr = θ × r
Length of arc = θ × r
To get the measure of the central angle θ in radian, we divide both sides by the radius r:
(Length of arc) / r = (θ × r) / r
θ = (Length of arc) / r
The central angle is calculated by dividing the length of the arc by the radius