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For a craft project, Chris cut a circle out of a square of cardboard

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michaelkalend
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For a craft project, Chris cut a circle out of a square of cardboard [#permalink] New post   Updated on: 23 May 2017, 00:28
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For a craft project, Chris cut a circle out of a square of cardboard that was 7 centimeters on a side. If the circle was as large as possible and was all in 1 piece, what was its area, in square centimeters?


A) \(\frac{49\pi}{4}\)

B) \(14\pi\)

C) \(\frac{49\pi}{2}\)

D) \(49\pi\)

E) \(98\pi\)
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Originally posted by michaelkalend on 22 May 2017, 23:29.
Last edited by Bunuel on 23 May 2017, 00:28, edited 1 time in total.
Edited the question.
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Re: For a craft project, Chris cut a circle out of a square of cardboard [#permalink] New post   23 May 2017, 00:30
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michaelkalend wrote:
For a craft project, Chris cut a circle out of a square of cardboard that was 7 centimeters on a side. If the circle was as large as possible and was all in 1 piece, what was its area, in square centimeters?


A) \(\frac{49\pi}{4}\)

B) \(14\pi\)

C) \(\frac{49\pi}{2}\)

D) \(49\pi\)

E) \(98\pi\)


Basically we are asked to find the area of a circle inscribed in a square of a side of 7 units. In this case the radius of the circle would be half of the side of the square, so 7/2 and its area would be \(\pi r^2=\pi*(\frac{7}{2})^2=\frac{49\pi}{4}\).

Answer: A.
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michaelkalend
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Re: For a craft project, Chris cut a circle out of a square of cardboard [#permalink] New post   23 May 2017, 00:43
Bunuel wrote:
michaelkalend wrote:
For a craft project, Chris cut a circle out of a square of cardboard that was 7 centimeters on a side. If the circle was as large as possible and was all in 1 piece, what was its area, in square centimeters?


A) \(\frac{49\pi}{4}\)

B) \(14\pi\)

C) \(\frac{49\pi}{2}\)

D) \(49\pi\)

E) \(98\pi\)


Basically we are asked to find the area of a circle inscribed in a square of a side of 7 units. In this case the radius of the circle would be half of the side of the square, so 7/2 and its area would be \(\pi r^2=\pi*(\frac{7}{2})^2=\frac{49\pi}{4}\).

Answer: A.


Ok, great! Thank you very much!
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For a craft project, Chris cut a circle out of a square of cardboard [#permalink] New post   23 May 2017, 05:50
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michaelkalend wrote:
For a craft project, Chris cut a circle out of a square of cardboard that was 7 centimeters on a side. If the circle was as large as possible and was all in 1 piece, what was its area, in square centimeters?


A) \(\frac{49\pi}{4}\)

B) \(14\pi\)

C) \(\frac{49\pi}{2}\)

D) \(49\pi\)

E) \(98\pi\)


Side of square = Diameter of Circle
Given side of square = 7cm
Radius (r) = \(\frac{7}{2}\)cm
Area of circle = \(\pi\)\(r^2\) = \((\frac{7}{2})^2\)\(\pi\) = \(\frac{49}{4}\)\(\pi\)
Answer A...
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Re: For a craft project, Chris cut a circle out of a square of cardboard [#permalink] New post   28 Dec 2022, 08:51
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Re: For a craft project, Chris cut a circle out of a square of cardboard [#permalink]
28 Dec 2022, 08:51
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