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Find the radius and the area of a circle if its circumference is 18 π cm. - Mathematics

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Question

Find the radius and the area of a circle if its circumference is 18 π cm.

Sum
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Solution

Given: Circumference C = 18π cm.

Step-wise calculation:

1. Use C = 2πr.

So, `r = C/(2π)`.

2. `r = (18π)/(2π)` 

= `18/2` 

= 9 cm

3. Area A = πr2 

= π × 92

= 81π cm2

Radius = 9 cm; Area = 81π cm2 (≈ 254.47 cm2).

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Chapter 16: Mensuration - Exercise 16C [Page 333]

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Nootan Mathematics [English] Class 9 ICSE
Chapter 16 Mensuration
Exercise 16C | Q 3. | Page 333
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