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Difficulty:
15%
(low)
Question Stats:
89% (00:28) correct
11%
(01:02)
wrong
based on 50
sessions
History
Date
Time
Result
Not Attempted Yet
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 [ 3.17 KiB | Viewed 1972 times ]
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Chethan92
Joined: 18 Jul 2018
Last visit: 21 Apr 2022
Posts: 899
Location: India
Concentration: Operations, General Management
Schools: IIMB EPGP'22 (M)
GMAT 1: 590 Q46 V25
GMAT 2: 690 Q49 V34
WE:Engineering (Energy)
Products:
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
Posted from my mobile device
Since radius is given.
1 is sufficient.
From 2: C=2πr. r = 5.
Again sufficient.
D is the answer
Posted from my mobile device
Bunuel
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)
Posts: 3,651
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
Analysing Statement 2
- • We are given that 2ᴨr = 10ᴨ
• Implies, r = 5
Hence, the correct answer is option D.
Answer: D
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