The diameter of the circle is 8 cm, so the radius of the circle is R=4cm.
The Circumference of the circle is 2πR=8π cm
Let the measure of the central angle be x.
the arc that angle x intercepts is 8/8π=1/π of the circumference. (approximately 1/3.14 or 1 third, so x will be 1 third of 360°=2π rad)
this is the ratio that x forms to the full angle 2π rad
[tex] \frac{x}{2 \pi } = \frac{1}{ \pi } [/tex]
x= 2 rad.
Answer: 2 rad
