Joe draws a circle with center (-2, 0) and a radius of 4 units. If the scale factor is 5/2, what is the radius of a similar circle with the same center?

Respuesta :

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.