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Perimeter of Square

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Perimeter of Square

by smclean23 » Wed Nov 05, 2008 6:58 pm
If the perimeter of square region S and the perimeter of circular region C are equal, then the ratio of the area of S to the area of C is closet to

3/2

4/3

3/4

2/3

1/2


OA is C
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Re: Perimeter of Square

by logitech » Wed Nov 05, 2008 7:21 pm
smclean23 wrote:If the perimeter of square region S and the perimeter of circular region C are equal, then the ratio of the area of S to the area of C is closet to

3/2

4/3

3/4

2/3

1/2


OA is C
one side of square: a
radius of circile : r

4a=2pi r

pir=2a



Lets plug some numbers

r=2, sp a=pi

then the ratio of the area of S to the area of C is closet to

a^2/pir^2 = pi x pi / pi x 4

= pi / 4
= 3.14/4

Hence C
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by raunekk » Wed Nov 05, 2008 8:23 pm
perimeter of square region S= perimeter of circular region C

4a = 2 pi r
2a = pi r
a/r = pi /2...(1)


area of S / areas of C

a * a / pi r^2

a * a /pi r *r

substitute 1 in the above eq.

pi / 4

3/4 (approx)
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