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Sub 505 Level|   Geometry|      
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Bunuel
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A sector of a circle has a central angle of 270° and a radius of 2. 23 Feb 2022, 05:15
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

5% (low)

Question Stats:

87% (00:47) correct 13% (00:48) wrong based on 54 sessions

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A sector of a circle has a central angle of 270° and a radius of 2. What is the area of the sector?

A. \(π\)

B. \(2π\)

C. \(3π\)

D. \(4π\)

E. \(8π\)
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C
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rajatchopra1994
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A sector of a circle has a central angle of 270° and a radius of 2. 02 Apr 2022, 11:50
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Explanation:

270° is 3/4 of circle area.

Area of circle = πr^2
4π
3/4th area = 4π x 3/4 = 3π

IMO-C

Posted from my mobile device
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Nefertiti9
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A sector of a circle has a central angle of 270° and a radius of 2. 02 Apr 2022, 12:33
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IMO C
The Area of sector is proportional to its central angle
now the ratio of 270/360 are in ration of 3:4
so the area will be in the same ration
Area of sector is 3/4* π (2)(2)= 3π
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A sector of a circle has a central angle of 270° and a radius of 2. 04 Apr 2022, 11:15
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Bunuel
A sector of a circle has a central angle of 270° and a radius of 2. What is the area of the sector?

A. \(π\)

B. \(2π\)

C. \(3π\)

D. \(4π\)

E. \(8π\)
\(\frac{270}{360}*π*2^2\)

Or, \(=\frac{27}{36}*π*4\)

Or, \(=\frac{27}{9}π\)

Or, \(=3π\), Answer must be (C)
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Bunuel
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