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A Rope by Which a Cow is Tethered is Increased from 16 M to 23 M. How Much Additional Ground Does It Have Now Graze? - Mathematics

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Question

A rope by which a cow is tethered is increased from 16 m to 23 m. How much additional ground does it have now graze?

Sum

Solution

r1 = 16 m
r2 = 23 m

Amount of additional ground available = Area of the bigger circle -- Area of the smaller circle

`= π (r_1^2 - r_2^2)`

=  π (232 - 162)

= π (23 + 16)(23-26)

= 858 m2

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Chapter 18: Area of Circle, Sector and Segment - Exercise 18A [Page 832]

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RS Aggarwal Mathematics [English] Class 10
Chapter 18 Area of Circle, Sector and Segment
Exercise 18A | Q 22 | Page 832

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