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555-605 (Medium)|   Geometry|      
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Bunuel
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If O is the center of the circle in the figure above, what is the area 05 Oct 2021, 08:15
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

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35% (medium)

Question Stats:

66% (01:40) correct 34% (02:17) wrong based on 32 sessions

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If O is the center of the circle in the figure above, what is the area of the shaded region, expressed in square units?

(A) \(\frac{3}{2}π\)

(B) \(2π\)

(C) \(\frac{5}{2}π\)

(D) \(\frac{8}{3}π\)

(E) \(3π\)

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E
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If O is the center of the circle in the figure above, what is the area 05 Oct 2021, 08:25
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Correct Option E = 3π

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If O is the center of the circle in the figure above, what is the area 05 Oct 2021, 08:58
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Bunuel

If O is the center of the circle in the figure above, what is the area of the shaded region, expressed in square units?

(A) \(\frac{3}{2}π\)

(B) \(2π\)

(C) \(\frac{5}{2}π\)

(D) \(\frac{8}{3}π\)

(E) \(3π\)

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OA = OB = OC = OD = raidus = 3 = AB

So, ∠ AOB = ∠ COD = ∠OAB = ∠ OBA = ∠OCD = ∠ ODC = 60°

Now, ∠ COA + ∠ AOB = 180°

Again, ∠ COA + 60° = 180°

So, ∠ COA = 120°

So, Area of the shaded region will be \(\frac{120}{360}*3^2*π=3π\), Answer must be (E)
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