Answer:
The length of the arc is: [tex]\pi\,\,cm\approx\,3.14\,\,cm[/tex]
Step-by-step explanation:
Notice that a circle of diameter 2 cm has radius 1 cm (half of the diameter).
Also notice that the length of the full circle (which corresponds to a [tex]360^o[/tex] arc, is the circumference length given by the known formula [tex]2\,\pi \, R[/tex], so the arc subtended by half such angle (that is a [tex]180^o[/tex] angle would be: [tex]\frac{2\,\pi \, R}{2} = \pi \, R[/tex]
Therefore with this info we get that:
the length of this 180° arc for a radius of 1 cm is = [tex]\pi \, R= \pi\,1\,cm=\pi\,\,cm\approx\,3.14\,\,cm[/tex]
