Question

The ratio of the radii of two wheels is 4 : 5. Find the ratio of their circumference.(a)5:4
a) 5:4

(b)4:5

(c)16:25

(d)25:16

Answer 1

Answer:

Given:-

The ratio of the radii of two wheels is 4:5. Find the ratio of their circumference.

To find:-

The ratio of their circumferemce

$\huge\mathfrak\green{Solution:-}$

So let the radio of two wheels be 4/5

$as \: we \: know \: circumference \: of \: circle = 2\pi \: r$

(r=Radius)

$= \frac{ 2\pi \: r_{1}}{2\pi r_{2} } = \frac{4}{5}$

Radius 1 =4

Radius 2=5

By cancelling we get

$= \frac{ r_{1} }{ r_{2} } = \frac{4}{5}$

Therefore ratio of radii of two wheels is 4:5

Used formula:-

Circumference of circle =2πr

Additional information:-

Area of circle=πr^2 (r=radius)

$radius \: of \: circle = \sqrt{ \frac{area}{\pi} }$

Diameter of circle=2r

Step-by-step explanation:

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