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The figure above shows the top of a circular cake with a slice removed

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The figure above shows the top of a circular cake with a slice removed [#permalink] The figure above shows the top of a circular cake with a slice removed   26 Apr 2019, 07:32
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The figure above shows the top of a circular cake with a slice removed. The shaded region on top of the cake is the remaining part of a circular decoration that was centered on the cake. What is the area of the shaded region?

(1) P was the center of the top of the cake before the slice was removed and the angle of the slice, RPS, is 60°.
(2) PR = PS = 11 centimeters


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Re: The figure above shows the top of a circular cake with a slice removed [#permalink] The figure above shows the top of a circular cake with a slice removed   26 Apr 2019, 12:48
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The Logical approach to this question will focus on looking for two pieces of information required in order to find the area of a sector of a circle: the radius and the central angle.
Since statement (1) provides just the angle, it is not sufficient on its own; and since statement (2) provides the radius of the cake, but NOT of the shaded sector, it is not enough neither on its own nor combined with statement (1).
The correct answer is (E).

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Re: The figure above shows the top of a circular cake with a slice removed [#permalink] The figure above shows the top of a circular cake with a slice removed   27 Apr 2019, 10:57
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Bunuel

The figure above shows the top of a circular cake with a slice removed. The shaded region on top of the cake is the remaining part of a circular decoration that was centered on the cake. What is the area of the shaded region?

(1) P was the center of the top of the cake before the slice was removed and the angle of the slice, 226862.png, is 60°.
(2) PR = PS = 11 centimeters


DS82602.01
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Attachment:
2019-04-26_1831.png

To find the area of the shaded part we need the radius of the smaller shaded circle or the area of the unshaded part.Not given in any of the statements, Hence answer is E.

P.S. There seems to be a figure missing from statement 1, showing the angle.
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Re: The figure above shows the top of a circular cake with a slice removed [#permalink] The figure above shows the top of a circular cake with a slice removed   14 Jun 2019, 09:55
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We have enough information to calculate the area of the pie/circle but not enough information to get the area of the shaded region, thus E is the correct answer choice.
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Re: The figure above shows the top of a circular cake with a slice removed [#permalink] The figure above shows the top of a circular cake with a slice removed   06 Nov 2020, 05:44
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The figure above shows the top of a circular cake with a slice removed. The shaded region on top of the cake is the remaining part of a circular decoration that was centered on the cake. What is the area of the shaded region?

(1) P was the center of the top of the cake before the slice was removed and the angle of the slice, RPS, is 60°.

This tells us that the slice removed was 1/6th of the cake. However, we can't determine the area of the circular decoration portion removed. INSUFFICIENT.

(2) PR = PS = 11 centimeters

We can't determine the circular decoration portion. INSUFFICIENT.

(1&2) With the statements combined, we still can't determine the circular decoration portion of the cake. INSUFFICIENT.

Answer is E.
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The figure above shows the top of a circular cake with a slice removed [#permalink] The figure above shows the top of a circular cake with a slice removed   17 Dec 2020, 09:44
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Bunuel

The figure above shows the top of a circular cake with a slice removed. The shaded region on top of the cake is the remaining part of a circular decoration that was centered on the cake. What is the area of the shaded region?

(1) P was the center of the top of the cake before the slice was removed and the angle of the slice, RPS, is 60°.
(2) PR = PS = 11 centimeters

(1) Radius is not given. Insufficient

(2) Angle is not given; Insufficient.

Considering Both:

Area of the sector of big circle \(= \pi r^2=\frac{60}{360}* \pi r^2= \pi r^2=\frac{1}{6}* \pi 11^2\)

But no relation between the big circle and the shaded region is given.

Insufficient.

The answer is \(E\)
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Re: The figure above shows the top of a circular cake with a slice removed [#permalink] The figure above shows the top of a circular cake with a slice removed   21 Sep 2024, 13:44
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Re: The figure above shows the top of a circular cake with a slice removed [#permalink]
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