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