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The Difference Between the Circumference and Radius of a Circle is 37cm. Using π = 22 7 , Find the Circumference of the Circle. - Mathematics

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Question

The difference between the circumference and radius of a circle is 37cm. Using `pi = 22/7` , find the circumference of the circle. 

Sum

Solution

Let the radius of the circle be r and circumference C.

Now,

C- r = 37 

⇒  2πr - r = 37

`⇒ "r" = (2xx22/7-1) = 37 `

`=> r = (37xx7)/37 = 7 "cm"`

Now, C = 2πr `=2xx22/7xx7=44  "cm"`

Hence, the circumference of the circle is 44 cm.

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Chapter 18: Area of Circle, Sector and Segment - Exercise 18A [Page 819]

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RS Aggarwal Mathematics [English] Class 10
Chapter 18 Area of Circle, Sector and Segment
Exercise 18A | Q 1 | Page 819
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