Question

The ratio of the circumferences of two circles is 2:3. If the large circle has a radius of 39 cm, what is the radius of the

Answer 1

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 = $r_{2}$ = 39 cm

Radius of smaller circle = $r_{1}$

Now,

$\frac{2\pi r_1}{2\pi r_2}=\frac{2}{3}\\\frac{r_1}{r_2}=\frac{2}{3}$

Putting radius of larger circle

$\frac{r_1}{39}=\frac{2}{3}\\\\r_1=\frac{2}{3}*39\\\\r_1=26$

Therefore,

The radius of smaller circle is 26cm.

Hence,

Option B: 26cm is the radius of smaller circle.