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

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Joined: 21 Mar 2017
Posts: 16
For a craft project, Chris cut a circle out of a square of cardboard  [#permalink]

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Updated on: 23 May 2017, 00:28
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Difficulty:

15% (low)

Question Stats:

85% (01:09) correct 15% (00:44) wrong based on 71 sessions

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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) $$98\pi$$

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]

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23 May 2017, 00:30
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 $$\pi r^2=\pi*(\frac{7}{2})^2=\frac{49\pi}{4}$$.

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Re: For a craft project, Chris cut a circle out of a square of cardboard  [#permalink]

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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 $$\pi r^2=\pi*(\frac{7}{2})^2=\frac{49\pi}{4}$$.

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]

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23 May 2017, 05:50
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 = $$\pi$$$$r^2$$ = $$(\frac{7}{2})^2$$$$\pi$$ = $$\frac{49}{4}$$$$\pi$$
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For a craft project, Chris cut a circle out of a square of cardboard &nbs [#permalink] 23 May 2017, 05:50
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