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If x = 40 degrees, what is the area of the sector shown in the figure?

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If x = 40 degrees, what is the area of the sector shown in the figure?  [#permalink]

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New post 24 Aug 2018, 05:19
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A
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C
D
E

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  15% (low)

Question Stats:

93% (00:22) correct 7% (01:07) wrong based on 27 sessions

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If x = 40 degrees, what is the area of the sector shown in the figure?

(1) The radius of the circle is 5.
(2) The circumference of the circle is 10π.


Attachment:
image001.jpg
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Re: If x = 40 degrees, what is the area of the sector shown in the figure?  [#permalink]

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New post 24 Aug 2018, 05:26
From 1: Area os sector = πr^2*40/360.
Since radius is given.
1 is sufficient.

From 2: C=2πr. r = 5.
Again sufficient.

D is the answer

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Re: If x = 40 degrees, what is the area of the sector shown in the figure?  [#permalink]

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New post 24 Aug 2018, 05:29
Bunuel wrote:
Image
If x = 40 degrees, what is the area of the sector shown in the figure?

(1) The radius of the circle is 5.
(2) The circumference of the circle is 10π.


Attachment:
image001.jpg


Determining Area of sector:-
a) Radius and b)Angle of sector are the basic requirement.

St1:- The radius of the circle is 5.
Sector angle and radius is known.
Sufficient.

St2:- The circumference of the circle is 10π.
Radius can be calculated if circumference is given. Sector angle is already given.
Sufficient.

Ans. (D)
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Re: If x = 40 degrees, what is the area of the sector shown in the figure?  [#permalink]

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New post 24 Aug 2018, 10:05

Solution


Given:
    • x = 40 degrees

To find:
    • Area of the sector shown in the figure

Approach and Working:
    • Area of a sector which subtends an angle of x degrees at the center = ᴨr2 * x/360, where r is the radius of the circle
    • We know x, we need the value of ‘r’ to find the answer

Analysing Statement 1
    • We are given that r = 5
Therefore, Statement 1 alone is sufficient to answer this question

Analysing Statement 2
    • We are given that 2ᴨr = 10ᴨ
    • Implies, r = 5
Therefore, Statement 2 alone is sufficient to answer this question.

Hence, the correct answer is option D.

Answer: D

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Re: If x = 40 degrees, what is the area of the sector shown in the figure? &nbs [#permalink] 24 Aug 2018, 10:05
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