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GMAT Problem Solving (PS) | In the figure below, O is the center of the circle. If the area of the

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Bunuel wrote:

In the figure below, O is the center of the circle. If the area of the sector containing the angle x° is 2π, what is the value of x?
Image

(A) 22.5
(B) 30.0
(C) 45.0
(D) 60.0
(E) 90.0


[Reveal] Spoiler:



Given;

\(C^{\circ} = x^{\circ}\) ------------(\(C^{\circ}\) is the Central Angle)

Area of Sector\(= 2\pi\)

Radius\(= 4\)

Area of Sector\( =\pi(r^2)\frac{C^{\circ}}{360^{\circ}} \)
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