The perimeter of a circle is equal to that of a square, then the ratio of their areas is?
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Answer:
14/11
Step-by-step explanation:
Given that:-
2πr = 4 ×side
πr = 2× side
πr/2 = side•••••••••(1)
Now,
Ratio of area of circle to square = πr^2/side^2
=> πr^2/side^2= πr^2/(πr/2)^2
= πr^2 × 4/π^2r^2
= 4/π. = 4/22/7
= 4× 7/22
=14/11
● Hence the ratio of area of circle to square is 14:11
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