If 'D' is an even integer then which of the
following cannot be times the area (in sq.
units) of the circle?
Answers
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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Answer:
Option C is the correct answer.
Hope you get the correct answer.