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The window in the figure above consists of a rectangle and a semicircl [#permalink]

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19 Jun 2016, 03:05

Area of the semicircle = \(\frac{\pi r^2}{2}\) Since Radius is 2 therefore Area of the semicircle =>\(\frac{\pi*2*2}{2}\)===> \(2\pi\) Area of the rectangle=\(l . b = 8 x 4 = 32\)

total area = \(32 + 2\pi\) Answer is E

AbdurRakib wrote:

The window in the figure above consists of a rectangle and a semicircle with dimensions as shown. What is the area, in square feet, of the window?

A) 40 + 8\(\pi\) B) 40 + 2\(\pi\) C) 32 + 8\(\pi\) D) 32 + 4\(\pi\) E) 32 + 2\(\pi\)

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Posting an answer without an explanation is "GOD COMPLEX". The world doesn't need any more gods. Please explain you answers properly. FINAL GOODBYE :- 17th SEPTEMBER 2016. .. 16 March 2017 - I am back but for all purposes please consider me semi-retired.

Last edited by LogicGuru1 on 17 Sep 2016, 03:37, edited 1 time in total.

Re: The window in the figure above consists of a rectangle and a semicircl [#permalink]

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02 Aug 2016, 14:04

2

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Here are a couple of videos about this problem. The first goes over a shortcut method to solve the question in a few seconds. The second goes over a more conventional, but more versatile, approach.

Re: The window in the figure above consists of a rectangle and a semicircl [#permalink]

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16 Sep 2016, 23:00

1

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I see this differently. If this was purely a rectangle, then the area would be 40sq.f

So A and B are automatically wrong. Say I don't remember my geometry and only know that pi is 3.14, then everything is easy. C=32+8*3.14=too much D=32+4*3.14=too much

Re: The window in the figure above consists of a rectangle and a semicircl [#permalink]

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11 Oct 2016, 01:28

lololol650 wrote:

I see this differently. If this was purely a rectangle, then the area would be 40sq.f

So A and B are automatically wrong. Say I don't remember my geometry and only know that pi is 3.14, then everything is easy. C=32+8*3.14=too much D=32+4*3.14=too much

So by elimination the answer is E

Did it the same way.

Half-circle --> 2/pi, we can narrow down the choices to two. If it would be a full rectangle --> 4 * 10 = 40. But it is not a full rectangle. --> Must be E.