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Math Expert V
Joined: 02 Sep 2009
Posts: 55618
If a rectangle with a diagonal of 5 inches is inscribed in circle O, w  [#permalink]

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Difficulty:   25% (medium)

Question Stats: 95% (00:47) correct 5% (00:22) wrong based on 25 sessions

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If a rectangle with a diagonal of 5 inches is inscribed in circle O, what is the circumference of circle O, in inches?

A. 5

B. $$\frac{5\pi}{2}$$

C. $$5\pi$$

D. $$6\pi$$

E. $$10\pi$$

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Intern  B
Joined: 10 Feb 2018
Posts: 33
GMAT 1: 550 Q46 V20 Re: If a rectangle with a diagonal of 5 inches is inscribed in circle O, w  [#permalink]

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Diagonal of rectangle would equal the diameter of circle.
Therefore the radius of circle would be 5/2
hence the circumference is 2*5/2*(pi)=5pi
e-GMAT Representative D
Joined: 04 Jan 2015
Posts: 2888
Re: If a rectangle with a diagonal of 5 inches is inscribed in circle O, w  [#permalink]

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Solution

Given:
A rectangle is inscribed in a circle with center O
• Diagonal length of the rectangle = 5 inches

To find:
• Circumference of the circle

Approach and Working:
Length of diagonal = length of the diameter of circle
• Thus, diameter = 5 => radius = $$\frac{5}{2}$$

Therefore, circumference of the circle = $$2ᴨr = 2 * ᴨ * \frac{5}{2} = 5ᴨ$$

Hence, the correct answer is Option C

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Intern  B
Joined: 15 Dec 2018
Posts: 30
Re: If a rectangle with a diagonal of 5 inches is inscribed in circle O, w  [#permalink]

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IMO C

Right angle in a circle indicates that diagonal is the diameter

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CEO  P
Joined: 18 Aug 2017
Posts: 3834
Location: India
Concentration: Sustainability, Marketing
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WE: Marketing (Energy and Utilities)
Re: If a rectangle with a diagonal of 5 inches is inscribed in circle O, w  [#permalink]

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Bunuel wrote:
If a rectangle with a diagonal of 5 inches is inscribed in circle O, what is the circumference of circle O, in inches?

A. 5

B. $$\frac{5\pi}{2}$$

C. $$5\pi$$

D. $$6\pi$$

E. $$10\pi$$

diagonal = diameter
so
circumference = 2* pi * 2.5
IMO C 5 pi
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If you liked my solution then please give Kudos. Kudos encourage active discussions. Re: If a rectangle with a diagonal of 5 inches is inscribed in circle O, w   [#permalink] 10 Jan 2019, 07:26
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