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# A rectangular window with dimensions 2 meters by 3 meters is to be enl

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Math Expert
Joined: 02 Sep 2009
Posts: 52431
A rectangular window with dimensions 2 meters by 3 meters is to be enl  [#permalink]

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27 Nov 2017, 22:27
00:00

Difficulty:

25% (medium)

Question Stats:

79% (00:37) correct 21% (00:57) wrong based on 20 sessions

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A rectangular window with dimensions 2 meters by 3 meters is to be enlarged by cutting out a semicircular region in the wall as shown above. What is the areaa, in square meters, of this semicircular region?

(A) π/4
(B) π/2
(C) π
(D) 2π
(E) 4π

Attachment:

2017-11-28_1023.png [ 3.05 KiB | Viewed 440 times ]

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A rectangular window with dimensions 2 meters by 3 meters is to be enl  [#permalink]

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28 Nov 2017, 16:12
Bunuel wrote:

A rectangular window with dimensions 2 meters by 3 meters is to be enlarged by cutting out a semicircular region in the wall as shown above. What is the areaa, in square meters, of this semicircular region?

(A) π/4
(B) π/2
(C) π
(D) 2π
(E) 4π

Attachment:
2017-11-28_1023.png

The area of a semicircular region is $$\frac{πr^2}{2}$$

The semicircle's diameter equals the rectangle's width (2 meters)
$$d = 2r =2m$$, and $$\frac{2m}{2}= 1 m = r$$

Area in square meters is $$\frac{π(1^2)}{2} = \frac{π}{2}$$

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A rectangular window with dimensions 2 meters by 3 meters is to be enl &nbs [#permalink] 28 Nov 2017, 16:12
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