Answer:
Option B: 26cm is the radius of smaller circle.
Step-by-step explanation:
Given that:
Ratio of circumferences of two circles = 2:3
We know that circumference of circle is given by 2πr.
Radius of larger circle = [tex]r_{2}[/tex] = 39 cm
Radius of smaller circle = [tex]r_{1}[/tex]
Now,
[tex]\frac{2\pi r_1}{2\pi r_2}=\frac{2}{3}\\\frac{r_1}{r_2}=\frac{2}{3}[/tex]
Putting radius of larger circle
[tex]\frac{r_1}{39}=\frac{2}{3}\\\\r_1=\frac{2}{3}*39\\\\r_1=26[/tex]
Therefore,
The radius of smaller circle is 26cm.
Hence,
Option B: 26cm is the radius of smaller circle.
