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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.

Re: The circle with center R has a radius of 6 and is inscribed [#permalink]
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

greprepclubot

Re: The circle with center R has a radius of 6 and is inscribed
[#permalink]
10 Oct 2017, 08:45