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A square is made of a wire has an area of 625 cm2, what is the area of

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A square is made of a wire has an area of 625 cm2, what is the area of  [#permalink]

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New post 11 Sep 2018, 00:57
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A square is made of a wire has an area of 625 cm2, what is the area of the circle that can be made out of the same wire by stretching the wire?


A. \(\frac{625}{2} \pi\)

B. 625

C. \(125\pi\)

D. \(\frac{2500}{\pi}\)

E. \(625\pi\)

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Re: A square is made of a wire has an area of 625 cm2, what is the area of  [#permalink]

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New post 11 Sep 2018, 01:10
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Area = 625 = \({side}^2\) = Side = 25.

Diagonal of a square is Side\(\sqrt{2}\) = 25\(\sqrt{2}\)

Diagonal of a square is the diameter of the circle = 25\(\sqrt{2}\)

Radius becomes 25\(\sqrt{2}\)/2.

Area = pi\(r^2\) = 625*2*pi/4 = 625/2 * pi

A is the answer.
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Re: A square is made of a wire has an area of 625 cm2, what is the area of  [#permalink]

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New post 11 Sep 2018, 01:36
Bunuel wrote:
A square is made of a wire has an area of 625 cm2, what is the area of the circle that can be made out of the same wire by stretching the wire?


A. \(\frac{625}{2} \pi\)

B. 625

C. \(125\pi\)

D. \(\frac{2500}{\pi}\)

E. \(625\pi\)



Since the length of wire will remain same,

Perimeter of square = Perimeter of circle

Area of square= 625 m2
=> Side= 25 m
=> Perimeter=4* side= 100

For circle:
2*pi*r=100
r=50/pi

Area= pi*r*r
= 2500/pi

Hence the answer is D
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Re: A square is made of a wire has an area of 625 cm2, what is the area of  [#permalink]

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New post 11 Sep 2018, 01:43
quantumdweller wrote:
Bunuel wrote:
A square is made of a wire has an area of 625 cm2, what is the area of the circle that can be made out of the same wire by stretching the wire?


A. \(\frac{625}{2} \pi\)

B. 625

C. \(125\pi\)

D. \(\frac{2500}{\pi}\)

E. \(625\pi\)



Since the length of wire will remain same,

Perimeter of square = Perimeter of circle

Area of square= 625 m2
=> Side= 25 m
=> Perimeter=4* side= 100

For circle:
2*pi*r=100
r=50/pi

Area= pi*r*r
= 2500/pi

Hence the answer is D


Damn, I misunderstood the question. :|
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Re: A square is made of a wire has an area of 625 cm2, what is the area of &nbs [#permalink] 11 Sep 2018, 01:43
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