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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: 43810
A rectangular window with dimensions 2 meters by 3 meters is to be enl [#permalink]

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27 Nov 2017, 22:27
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Question Stats:

76% (00:24) correct 24% (00:17) wrong based on 17 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

[Reveal] Spoiler:
Attachment:

2017-11-28_1023.png [ 3.05 KiB | Viewed 282 times ]
[Reveal] Spoiler: OA

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Joined: 22 May 2016
Posts: 1329
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

[Reveal] Spoiler:
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   [#permalink] 28 Nov 2017, 16:12
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