The radii of two are in the ratio 3 : 5,find the ratio between their circumferences.
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Correct Question
- The radii of two circles are in the ratio 3:5, find the ratio between their circumference.
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Given
- Radius of two circles are 3:5.
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To find
- Ratio of their circumferences.
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Solution
- Let the ratio of radii be x.
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Then,
- Radius of first circle = 3x
- Radius of second circle = 5x
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As we know,
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☆ Circumference = 2πr
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→ Circumference 1 = 2π × 3x
→ Circumference 1 = 6πx
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→ Circumference 2 = 2π × 5x
→ Circumference 2 = 10πx
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Ratio,
⠀⠀❍ Circumference 1 : Circumference 2
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- Required ratio = 6:10
- Required ratio = 3:5
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Hence,
- Ratio of their circumferences is 3:5.
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