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# The area of the shaded region is 3π. What is the radius of the circle

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Math Expert
Joined: 02 Sep 2009
Posts: 58464

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25 Feb 2019, 02:44
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Difficulty:

15% (low)

Question Stats:

86% (01:05) correct 14% (01:29) wrong based on 36 sessions

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The area of the shaded region is 3π. What is the radius of the circle with center O?

A. 3
B. 6
C. 9
D. 12
E. 36

Attachment:

2019-02-25_1343.png [ 38.63 KiB | Viewed 446 times ]

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Re: The area of the shaded region is 3π. What is the radius of the circle  [#permalink]

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25 Feb 2019, 03:08
Bunuel wrote:

The area of the shaded region is 3π. What is the radius of the circle with center O?

A. 3
B. 6
C. 9
D. 12
E. 36

Attachment:
2019-02-25_1343.png

(3pie / 30) * 360 = 36pie

Area = 36 pie

$$pie * r^2 = 36 pie$$

r = 6.

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Re: The area of the shaded region is 3π. What is the radius of the circle  [#permalink]

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25 Feb 2019, 05:21
This is an easy one ans 30/360 =1/12 so the arc represents one twelfth of the of the area.
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Re: The area of the shaded region is 3π. What is the radius of the circle  [#permalink]

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25 Feb 2019, 05:52
Area of a sector of cricle with angle 30 is given by

πr^2 (30/360) = 3π
AFTER Ssolving this we get r= 6

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Re: The area of the shaded region is 3π. What is the radius of the circle  [#permalink]

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27 Feb 2019, 10:18
Bunuel wrote:

The area of the shaded region is 3π. What is the radius of the circle with center O?

A. 3
B. 6
C. 9
D. 12
E. 36

Attachment:
2019-02-25_1343.png

Since the shaded region is 30/360, or 1/12 of the circle, the area of the entire circle is 12 x 3π = 36π. So the radius is 6.

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Re: The area of the shaded region is 3π. What is the radius of the circle   [#permalink] 27 Feb 2019, 10:18
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