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The circle with center R has a radius of 6 and is inscribed

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The circle with center R has a radius of 6 and is inscribed [#permalink] New post 24 May 2017, 01:20
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79% (02:02) correct 20% (01:00) wrong based on 24 sessions



The circle with center R has a radius of 6 and is inscribed inside square ABCD

Quantity A
Quantity B
The area of the largest triangle that can be drawn inside square ABCD
The area of the circle with center R


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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Re: The circle with center R has a radius of 6 and is inscribed [#permalink] New post 10 Oct 2017, 08:45
The largest triangle inscribed in a square is half of the square. Thus, its area is equal to 12*12/2 = 72. Side equal to 12 comes from the fact that the diameter of the inscribed circle is 12.

The area of the inscribed circle is 6*6*pi = 36*pi.

Now, we have to compare 72 and 36*pi. We can rewrite 72 as 36*2 and compare 2 and pi. Since pi = 3.14 it is larger than 2 and quantity B is greater
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Re: The circle with center R has a radius of 6 and is inscribed [#permalink] New post 06 Feb 2019, 21:06
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Area of Circle= (22/7)*r^2 = (22/7)* 6 * 6= 113

Area of Traingle = 1/2 (b*H) = 1/2 * 12 * 12= 72

B is Answer
Re: The circle with center R has a radius of 6 and is inscribed   [#permalink] 06 Feb 2019, 21:06
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The circle with center R has a radius of 6 and is inscribed

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