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If the radius of the circle above is 6, then what is the area of the

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If the radius of the circle above is 6, then what is the area of the  [#permalink]

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New post 17 Jan 2019, 03:59
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

89% (01:11) correct 11% (01:12) wrong based on 26 sessions

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Re: If the radius of the circle above is 6, then what is the area of the  [#permalink]

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New post 17 Jan 2019, 04:24
Bunuel wrote:
Image
If the radius of the circle above is 6, then what is the area of the shaded region?

A 18
B 36
C 9π – 18
D 18π – 18
E 18π − 36

Attachment:
The attachment 2019-01-17_1457.png is no longer available


Please refer the affixed diagram,

Area of the shaded region=\(\frac{1}{4}\)*(Area of circle-Area of square ABCD)
=\(\frac{1}{4}*[π*6^2-({6\sqrt{2}})^2]\)=9π-18

Ans. (C)
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Area.JPG
Area.JPG [ 32.63 KiB | Viewed 374 times ]


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Re: If the radius of the circle above is 6, then what is the area of the  [#permalink]

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New post 17 Jan 2019, 06:06
Bunuel wrote:
Image
If the radius of the circle above is 6, then what is the area of the shaded region?

A 18
B 36
C 9π – 18
D 18π – 18
E 18π − 36

Attachment:
2019-01-17_1457.png


Area of the shaded region = Area of sector - Area of right angled triangle

Area of sector = \((90/360)π r^2\) = \((1/4)πr^2\)

Area of right angled triangle = 1/2(6)(6)= 18

C) 9π – 18
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Re: If the radius of the circle above is 6, then what is the area of the  [#permalink]

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New post 17 Jan 2019, 07:11
Bunuel wrote:
Image
If the radius of the circle above is 6, then what is the area of the shaded region?

A 18
B 36
C 9π – 18
D 18π – 18
E 18π − 36

Attachment:
2019-01-17_1457.png



area of region :
90/360 * pi * 6^2 = 9 pi
area of triangle = 0.5 * 6^2 = 18
area of shaded region = 9pi - 18
IMO C
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Re: If the radius of the circle above is 6, then what is the area of the   [#permalink] 17 Jan 2019, 07:11
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