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The circle with center R has a radius of 6 and is inscribed
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24 May 2017, 01:20
24 May 2017, 01:20
1
Expert Reply
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Question Stats:
82% (01:25) correct
17% (01:09) wrong based on 162 sessions
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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
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10 Oct 2017, 08:45
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
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
Re: The circle with center R has a radius of 6 and is inscribed
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06 Feb 2019, 21:06
06 Feb 2019, 21:06
1
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
Area of Traingle = 1/2 (b*H) = 1/2 * 12 * 12= 72
B is Answer
