Question

ratio of radii of two wheels is 4:5.find the ratio of their circumference​

Answer 1

SoluTion:

Given that, ratio of radii of two wheels is 4:5.

We have to find the ratio of their circumference.

Let the radii of two wheels be 4x and 5x respectively.

We know that,

$\large{\boxed{\sf{\red{Circumference\:of\:circle\:=\:2 \pi r}}}}$

Putting the values,

$\implies$ Ratio of circumference of wheels = $\sf{\dfrac{\cancel{2 \pi} r_{1}}{\cancel{2 \pi} r_{2}}}$

$\implies$ Ratio of circumference of wheels = $\sf{\dfrac{r_1}{r_2}}$

$\implies$ Ratio of circumference of wheels = $\sf{\dfrac{4x}{5x}}$

Hence, Ratio of circumference of wheels is 4:5

$\rule{200}2$

Answer 2

Solutions:

Given that, ratio of radii of two weeks is 4:5.

We have to find the ratio of their circumference.

Let the radii of two wheels be 4x and 5x respectively.

We know that

circumference of circle = 2πr

putting the value,

Ratio of circumference of wheels = 2πr1/2πr2

Ratio of circumference of wheels = r1/r2

Ratio of circumference of wheels = 4x/5x

Hence, Ratio of circumference of wheels is 4:5

silentlover45.❤️