Arc Length Conjecture
What is the CIRCUMFERENCE of the given circle (r = 4 cm) in terms of pi?
Rounded to the nearest hundredth of a centimeter, the circle's FULL circumference is 25.14 centimeters.
Since we can calculate the FULL circumference of any circle, we can easily compute arc length too.
The length of an arc of a circle is simply a ______________ of the full circle's circumference.
To determine the fraction that should be used in our calculations, we must know the size of the angle located at the circle's center.
![To determine the fraction that should be used in our calculations, we must know the size of the angle located at the circle's center.](https://www.geogebra.org/resource/znthcnp4/S3vBwSbXmnFxIdcm/material-znthcnp4.png)
Arc Length Conjecture: The length of an arc equals...
![Arc Length Conjecture: The length of an arc equals...](https://www.geogebra.org/resource/bk8uev8h/rBiOAC0gYGSpBuvd/material-bk8uev8h.png)