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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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Math Expert
Joined: 02 Sep 2009
Posts: 50619
A square is made of a wire has an area of 625 cm2, what is the area of  [#permalink]

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11 Sep 2018, 00:57
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Difficulty:

25% (medium)

Question Stats:

83% (00:33) correct 17% (02:16) wrong based on 11 sessions

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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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Posts: 374
Location: India
Concentration: Finance, Marketing
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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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11 Sep 2018, 01:10
1
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

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Joined: 26 Jul 2018
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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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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

Senior Manager
Joined: 18 Jul 2018
Posts: 374
Location: India
Concentration: Finance, Marketing
WE: Engineering (Energy and Utilities)
Re: A square is made of a wire has an area of 625 cm2, what is the area of  [#permalink]

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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

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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