Math, asked by ivy2456, 3 months ago

The radii of two are in the ratio 3 : 5,find the ratio between their circumferences.​

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Answered by 3598810006532
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Answered by Anonymous
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Correct Question

  • The radii of two circles are in the ratio 3:5, find the ratio between their circumference.

Given

  • Radius of two circles are 3:5.

To find

  • Ratio of their circumferences.

Solution

  • Let the ratio of radii be x.

Then,

  • Radius of first circle = 3x
  • Radius of second circle = 5x

As we know,

Circumference = 2πr

→ Circumference 1 = 2π × 3x

→ Circumference 1 = 6πx

→ Circumference 2 = 2π × 5x

→ Circumference 2 = 10πx

Ratio,

⠀⠀❍ Circumference 1 : Circumference 2

  • Required ratio = 6:10
  • Required ratio = 3:5

Hence,

  • Ratio of their circumferences is 3:5.
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