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Maharashtra State BoardSSC (English Medium) 9th Standard

Find the following ratio. The ratio of circumference of circle with radius r to its area.

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Question

Find the following ratio.

The ratio of circumference of circle with radius r to its area.

Sum
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Solution

Radius of the circle = r units

∴ Circumference of the circle = 2πr units

Area of the circle = πr2 square units

Circumference of the circle: Area of the circle 

`= 2πr : πr^2`

`= (2πr)/(πr^2)`

`= 2/r`

= 2 : r

Thus, the ratio of circumference of circle with radius r to its area is 2 : r.

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Properties of Ratio
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Chapter 4: Ratio and Proportion - Practice Set 4.2 [Page 63]

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Balbharati Mathematics 1 [English] Standard 9 Maharashtra State Board
Chapter 4 Ratio and Proportion
Practice Set 4.2 | Q (2) (ii) | Page 63

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