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What is the perimeter of the sector in the circle above if angle x is

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What is the perimeter of the sector in the circle above if angle x is  [#permalink]

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New post 07 Sep 2018, 00:31
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Question Stats:

83% (00:38) correct 17% (01:27) wrong based on 18 sessions

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What is the perimeter of the sector in the circle above if angle x is 90°? (Assume O is the center)

(1) The area of the circle is 4π.
(2) The minor arc AC has length π.

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image002.jpg
image002.jpg [ 3.36 KiB | Viewed 247 times ]

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Re: What is the perimeter of the sector in the circle above if angle x is  [#permalink]

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New post 07 Sep 2018, 01:45
Bunuel wrote:
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What is the perimeter of the sector in the circle above if angle x is 90°? (Assume O is the center)

(1) The area of the circle is 4π.
(2) The minor arc AC has length π.

Attachment:
image002.jpg


Question: Perimeter of the sector = Length of arc + 2*Radius \(= (1/4)2πr+2r =\)?

Statement 1: The area of the circle is 4π.

i.e. \((1/4)πr^2 = 4π\)
This gives us the radius hence

SUFFICIENT

Statement 2: The minor arc AC has length π

\((1/4)2πr = π\)

This gives us the radius hence

SUFFICIENT

Answer: option D
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Re: What is the perimeter of the sector in the circle above if angle x is &nbs [#permalink] 07 Sep 2018, 01:45
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What is the perimeter of the sector in the circle above if angle x is

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