Question

the ratio of the radii of to circles is 5.6 what is the ratio of their circferences

Answer 1

Let the common factor be x

Radius 1 = 5x

Circumference = 2πr

$= 2 \times \frac{22}{7} \times 5x$

$= \frac{220x}{7}$


Radius 2 = 6x

Circumference = 2πr

$= 2 \times \frac{22}{7} \times 6x$

$= \frac{264x}{7}$


Ratio of R1 and R2



$\frac{220x}{7} \div \frac{264x}{7}$


$\frac{220x}{7} \times \frac{7}{264x}$

$= \frac{5}{6}$


So,

the ratio is 5:6