Question

the radius of two circles are in the ratio 2 ratio 3 is the ratio of their circumference​

Answer 1

Answer:

Let the radius of two circle be 2x and 3x respectively.

Now,

Circumference of a circle = 2πr

Circumference of first circle

= 2 × π × 2x

= 4xx x π

Circumference of second circle

= 2 × π × 3x

= 6xx x π

Ratio of Circumference of two circles ;

\begin{gathered} \frac{4 \cancel{x }\times \cancel\pi}{6 \cancel{x} \times \cancel\pi} \\ \\ \frac{4}{6} = \frac{2}{3} = 2 : 3\end{gathered}

6

x

×

π

4

x

×

π

6

4

=

3

2

=2:3

Hence, ratio of their Circumferences is 2 : 3.

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