Since the radius of the circle is 5 meters, the angle measure of an arc 2π meters long is 0.4π.
In Mathematics and Geometry, the arc length formed by a circle can be calculated by using the following equation (formula):
Arc length, l = 2πr × θ/360
Where:
- r represents the radius of a circle.
- θ represents the central angle.
In any unit circle, the length of an arc is exactly the measure of the central angle. Since an angle of 2π represents a whole turn, the length of an arc that subtends an angle of 2π meters can be determined
Arc length, l = rθ
Central angle, θ = l/r
Central angle, θ = 2π/5
Central angle, θ = 0.4π or 72°.