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Quantitative - Mathematics - Solid Geometry:

Circles

MCQ - 58-11910

Question:

If an ant runs randomly through an enclosed circular field of radius 2 feet with an inner circle of 1 foot, what is the probability that the ant will be in the inner circle an any one time?

  1. 18
  2. 16
  3. 14
  4. 16
  5. 1

Correct Answer: C

Explanation:

The area of a circle is π (radius²)

The area of the outer (2-ft) circle is π (2²) = 4 π square feet.

The area of the inner (1-ft) circle is π (1²) = 1 π square feet.

The inner circle covers 1/4 of the area of the outer circle.

So if the ant wanders around totally aimlessly and randomly, and there's no way to know where he came from, where he is now, or where he's going next, and there's an equal chance of him being anywhere in the big circle at any time, then there's a 25% chance of him being inside the small circle at any time, because 1/4 of the total area is in there.

Record Performance

131 MCQ for effective preparation of the test of Circles of Solid Geometry section.

Read the MCQ statement: If an ant runs randomly through an enclosed circular field of radius 2 feet with an inner circle of 1 foot, what is the probability that the a .... ne time? , keenly and apply the method you have learn through the video lessons for Circles to give the answer. Record your answer and check its correct answer and video explanation for MCQ No. 58-11910.

How to Answer

Solve the question for MCQ No. and decide which option (A through D/E) is the best choice to answer the MCQ, then click/tap the blue button to view the correct answer and it explanation.

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