Question

If the ratio of radii of two circles is 2:3 then find the ratio of their circumferences.​

Answer 1

Step-by-step explanation:

Let the radius of two circle be 2x and 3x respectively. Ratio of Circumference of two circles ; Hence, ratio of their Circumferences is 2 : 3. Thanks for the question !

Answer 2

Answer:

$\fbox \red {THE RATIO OF THERE CIRCUMFERENCE IS 2:3 }$

Step-by-step explanation:

LET THE RADIUS OF THE TWO CIRCLE BE 2x and 3x RESPECTIVELY.

WE KNOW THAT

CIRCUMFERENCE OF CIRCLE = 2πR

LET'S FIND THE CIRCUMFERENCE OF 1ST CIRCLE:-

circumference of circle of radius 2x cm = 2πr

$= 2 \pi \: r \\ \\ = 2 \times \frac{22}{7} \times 2x \\ \\ = \frac{88x}{7}$

SIMILARLY,

circumference of circle of radius 3x cm = 2πr

$= 2\pi \times r \\ \\ = 2 \times \frac{22}{7} \times 3x \\ \\ = \frac{132x}{7}$

___________________________

NOW THE RATIO OF THEIR CIRCUMFERENCES

$\frac{ratio \: of \: the \: circumference \: of \: 1st \: circle}{ratio \: of \: the \: circumference \: of \: 2nd\: circle} = \huge \bf \\ \\ \huge \bf = > \frac{ \frac{88x}{7} }{ \frac{132x}{7} } \huge \bf \\ \\ \huge \bf = > \frac{88x}{132x } \huge \bf \\ \\ \huge \bf = > \frac{22}{33} \huge \bf \\ \\ \huge \bf = > \frac{2}{3}$

HENCE THE RATIO OF THERE CIRCUMFERENCE IS 2:3