Math, asked by siriraghunath01, 2 days ago

If 'D' is an even integer then which of the following cannot be times the area (in sq. units) of the circle?

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Answers

Answered by prabhpreet60
21

Answer:

option C.. 6728

hope it helps you

Answered by amitnrw
1

Given :   'D' is an even integer

To Find :  which of the following cannot be π times the area (in sq. units) of the circle

Solution:

'D' is an even integer  = 2K   where K is integer

D -= Diameter

R = Radius = Diameter/2 = 2K/2  = K

Area of a circle = π (radius)²

= π K²

π times K²

K²  must be a perfect square

unit digits of perfect square can

be   0 , 1 , 4 ,  5 , 6 ,  9

6728 Does not have any of these unit digit

Hence K² can not be 6728  

Correct answer is Option C     6728

√6084 = 78

√3721  = 61

√1849 = 43

√6728 ≈ 82.02

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