The length of arc s on a circle can be determined using the formula:
Arc Length (s) = r × θ
where:
- s is the length of the arc
- r is the radius of the circle
- θ is the angle in radians subtended by the arc at the center of the circle
To find the approximate length of the arc, you need the radius and the angle measured in radians. If you only have the angle in degrees, you can convert it to radians using the formula:
θ (radians) = θ (degrees) × (π / 180)
So, if you have specific values for either the radius and angle, simply plug them into the equation to find the arc length. For example, if the radius is 5 units and the angle is 60 degrees, first convert 60 degrees to radians:
θ = 60 × (π / 180) = π/3 radians
Then, calculate the arc length:
s = 5 × (π/3) ≈ 5.24 units
Thus, the approximate length of arc s will be around 5.24 units.