Question

5. The radii of two circles are in the ratio 2: 3. What is the ratio of their circumferences?​

Answer 1

Answer:

circumference of 1circle=2πr

2π×2x

circumference of the 2circle=2π×3x

2π×2x:2π×3x

2x:3x

hope it helps you

Answer 2

Answer:–

The ratio of their circumferenc = $\dfrac{2}{3}$

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Given:–

• Radii of two circle are in the ratio 2:3
• find the ratio of their circumferences

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Explanation:–

Let the$R_1$ of circle $( C_1 )$ be 2x

Let the$R_2$ of circle $( C_2 )$ be 3x

So,

Circumference of the circle will be,

$Circle_1 \: = \:2πr_1$

and

$Circle_2\: =\: 2πr_2$

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$\:\:\:\:\:\:\:\:\:\:\:\:\dfrac{2}{3} \: = \: \dfrac{R_1}{R_2}$

Therefore, $R_2\:=\:\dfrac{3R_1}{2}$

Now, let's find the ratio of their circumferenc

$\frac{2\pi \: r_1}{2\pi \: r_2 } \: \: \\ \\ \: = \: \dfrac{2 \: \cancel \pi \: r_1}{ \cancel 2 \cancel \pi \: (3r_1) } \: \: (from \: equation \: - - 1) \\ \\ = \: \dfrac{2 \: \cancel {r_1}}{3 \: \cancel{ r_1} } \\ \\ = \: \dfrac{2}{3}$

Therefore, the ratio of their circumferenc = $\dfrac{2}{3}$