Answer:40 in
Step-by-step explanation:
The formula for calculating the circumference of a circle is given as
C = 2πr
Let r be the radius of the smaller circle and R be the radius of the bigger circle, the ratio of their circumference is given as 2 : 5 , this implies that
2πr : 2πR = 2 : 5
Which could be written as[tex]\frac{2\pi r}{2\pi R}[/tex] = [tex]\frac{2}{5}[/tex]
r = 16 , the the equation becomes:
[tex]\frac{16}{R}[/tex] = [tex]\frac{2}{5}[/tex]
Cross multiply
2R = 16 x 5
2R = 80
R = 80/2
R = 40 in
