Answer:
The radius of a similar circle with center (-2, 0) has a length of 10 units.
Step-by-step explanation:
The radius of the new circle ([tex]R[/tex]) is the product of the former radius ([tex]r[/tex]) and the scale factor ([tex]k[/tex]), that is to say:
[tex]R = k\cdot r[/tex] (1)
If we know that [tex]k = \frac{5}{2}[/tex] and [tex]r = 4[/tex], then the radius of the new circle is:
[tex]R = k\cdot r[/tex]
[tex]R = \left(\frac{5}{2} \right)\cdot (4)[/tex]
[tex]R = 10[/tex]
The radius of a similar circle with center (-2, 0) has a length of 10 units.