To find the radius of a circle when you are given the arc length, you can use the formula for arc length, which is given by:
Arc Length (s) = Radius (r) × Angle (θ)
Where:
- s is the arc length
- r is the radius
- θ is the angle in radians
If you rearrange this formula to solve for the radius, you will get:
Radius (r) = Arc Length (s) / Angle (θ)
To calculate the radius, you need to know both the arc length and the angle in radians. If the angle is given in degrees, you can convert it to radians by using:
Radians = Degrees × (π / 180)
Once you have both the arc length and the angle in the correct units, simply divide the arc length by the angle to find the radius. This method allows you to easily calculate the radius from the given arc length.