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# If the area of the shaded region is 180 – 36π , what is the length of

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Math Expert
Joined: 02 Sep 2009
Posts: 50702
If the area of the shaded region is 180 – 36π , what is the length of  [#permalink]

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05 Sep 2018, 23:58
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Difficulty:

15% (low)

Question Stats:

88% (01:09) correct 12% (01:07) wrong based on 24 sessions

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If the area of the shaded region is 180 – 36π , what is the length of the rectangle?

A. 30
B. 24
C. 18
D. 15
E. 12

Attachment:

image026.gif [ 810 Bytes | Viewed 423 times ]

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Re: If the area of the shaded region is 180 – 36π , what is the length of  [#permalink]

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06 Sep 2018, 00:04
C

As 6 is radius so rectangular area 180.
180=18×10
Length 18

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Re: If the area of the shaded region is 180 – 36π , what is the length of  [#permalink]

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06 Sep 2018, 02:37
1
Bunuel wrote:

If the area of the shaded region is 180 – 36π , what is the length of the rectangle?
Attachment:
image026.gif

+1 for D.

Shaded Area = 180 – 36π
Radius of the circle = 6
Meaning, Area of Circle = 36π and Total area of Rectangle = 180

Diameter of Circle = Width of Rectangle = 2 * 6 = 12
Total area of Rectangle = L * B = 180
L * 12 = 180
L = 15

Hence, D.
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Re: If the area of the shaded region is 180 – 36π , what is the length of  [#permalink]

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06 Sep 2018, 03:24
Shear ignorance ?

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Re: If the area of the shaded region is 180 – 36π , what is the length of  [#permalink]

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06 Sep 2018, 06:19
1
Bunuel wrote:

If the area of the shaded region is 180 – 36π , what is the length of the rectangle?

A. 30
B. 24
C. 18
D. 15
E. 12

Attachment:
image026.gif

Area of the white Circle is $$36π$$

Area of the shaded region is $$180 – 36π$$

Total Area of the rectangle is $$( 180 – 36π ) + 36π = l*12$$ { As breadth is twice the radius of the circle }

Or, $$180 = 12l$$

So, $$l = 15$$, Answer must be (D)
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Re: If the area of the shaded region is 180 – 36π , what is the length of &nbs [#permalink] 06 Sep 2018, 06:19
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