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In the figure below, both circles are centered around X .
The length of XY is 2 units and the length of XZ is 6 units. If the smaller circle is cut out of the larger circle, how much of the area, in square units, of the larger circle will remain?
  • a)
    12π
  • b)
    16π
  • c)
    32π
  • d)
    36π
  • e)
    40π
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
In the figure below, both circles are centered around X .The len...
The correct answer is c. Since you are given the radii of both circles, you can find the area of both circles. The radius of the smaller circle is 2, so the area is π(2)2 ,or 4π. The radius of the larger circle is 6, so the area is π(6)2 = 36π. Since the smaller circle is removed from the larger circle, simply subtract the area of the smaller circle from the area of the larger circle: 36π − 4π = 32π.
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In the figure below, both circles are centered around X .The length of XY is 2 units and the length of XZ is 6 units. If the smaller circle is cut out of the larger circle, how much of the area, in square units, of the larger circle will remain?a)12πb)16πc)32πd)36πe)40πCorrect answer is option 'C'. Can you explain this answer?
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