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15 Jun 2020, 07:48
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D
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Difficulty:
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92% (01:21) correct
8%
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Two circles are inscribed in a rectangle as shown above. What is the area of the shaded region?
A. \(200 - 25\pi\)
B. \(200 - 50\pi\)
C. \(100 - 20\pi\)
D. \(100 - 25\pi\)
E. \(100 - 30\pi\)
Are You Up For the Challenge: 700 Level Questions
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2020-06-15_1842.png [ 81.75 KiB | Viewed 7120 times ]
15 Jun 2020, 07:57
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Bunuel
Area of rectangle = 20*10=200
Area of circle = \(\pi*r^2=\pi*5^2=25\pi\), so area of both circles = \(2*25\pi=50\pi\)
So area inside rectangle but outside the circle = \(200-50\pi\)
Area of the shaded portion = \(\frac{200-50\pi}{2}=100-25\pi\)
D
15 Jun 2020, 08:04
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Bunuel
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File comment: As per the circles are concerned,
In the illustration pic the shaded parts are symmetrical.
IMO ans is D
DSC_1311~2.JPG [ 4.27 MiB | Viewed 6173 times ]
