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06 Sep 2019, 03:48
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
58% (01:38) correct
42%
(01:38)
wrong
based on 50
sessions
History
Date
Time
Result
Not Attempted Yet
If a quadrilateral is inscribed in a circle of radius 5 units. Which of the following cannot be the area of the quadrilateral ?
A. 0.01
B. 0.1
C. 48
D. 50
E. 52
A. 0.01
B. 0.1
C. 48
D. 50
E. 52
06 Sep 2019, 21:38
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Inscribed in a circle, quadrilateral that has maximum area is a square.
Length of side of a square that can be Inscribed in a circle of radius 5 units= \(\sqrt{2}r\)=\(5\sqrt{2}\)
Area of square= \((5\sqrt{2})^2\)=50
0 < area of the quadrilateral ≤ 50
E
Length of side of a square that can be Inscribed in a circle of radius 5 units= \(\sqrt{2}r\)=\(5\sqrt{2}\)
Area of square= \((5\sqrt{2})^2\)=50
0 < area of the quadrilateral ≤ 50
E
Dillesh4096
31 Mar 2020, 10:10
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Dillesh4096
Notice that we can make the inscribed quadrilateral so thin that there is no minimum value for its area.
However, as you might imagine, there will be a maximum value for the area of the quadrilateral.
So, without even looking at the answer choices, we can conclude that the correct answer will be the largest answer choice.
Answer: E
Cheers,
Brent
