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11 Sep 2018, 01:57
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
74% (01:42) correct
26%
(02:03)
wrong
based on 25
sessions
History
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Not Attempted Yet
A square is made of a wire has an area of 625 cm2, what is the area of the circle that can be made out of the same wire by stretching the wire?
A. \(\frac{625}{2} \pi\)
B. 625
C. \(125\pi\)
D. \(\frac{2500}{\pi}\)
E. \(625\pi\)
A. \(\frac{625}{2} \pi\)
B. 625
C. \(125\pi\)
D. \(\frac{2500}{\pi}\)
E. \(625\pi\)
11 Sep 2018, 02:10
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Area = 625 = \({side}^2\) = Side = 25.
Diagonal of a square is Side\(\sqrt{2}\) = 25\(\sqrt{2}\)
Diagonal of a square is the diameter of the circle = 25\(\sqrt{2}\)
Radius becomes 25\(\sqrt{2}\)/2.
Area = pi\(r^2\) = 625*2*pi/4 = 625/2 * pi
A is the answer.
Diagonal of a square is Side\(\sqrt{2}\) = 25\(\sqrt{2}\)
Diagonal of a square is the diameter of the circle = 25\(\sqrt{2}\)
Radius becomes 25\(\sqrt{2}\)/2.
Area = pi\(r^2\) = 625*2*pi/4 = 625/2 * pi
A is the answer.
11 Sep 2018, 02:36
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Bunuel
Since the length of wire will remain same,
Perimeter of square = Perimeter of circle
Area of square= 625 m2
=> Side= 25 m
=> Perimeter=4* side= 100
For circle:
2*pi*r=100
r=50/pi
Area= pi*r*r
= 2500/pi
Hence the answer is D
