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 small circle? a. 19.5 cm b. 26 cm c. 58.5 cm d. 117 cm

Radius of the small circle = 26 cm .

Step-by-step explanation:

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

To find : what is the radius of the small circle?

Solution : We have given

Radius  of larger circle = 39 cm.

Circumference = 2 * pi* radius .

Circumference = 2 * 3.14 * 39 .

=  .

Plug the values of circumference

=  .

=  .

On multiplying by 244.92 both sides

6.28 * radius = 163.28

On dividing by 6.28 both sides

Radius =  26 cm

Therefore, Radius of the small circle = 26 cm .

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step-by-step explanation: