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MCQ Geometry - Circles

The CAT Online Free Test Prep MCQs Geometry - Circles

Geometry: Circles

Question:

circles 01 -31565702
In the figure to the right, O is both the center of the circle with radius 2 and a vertex of the square OPRS. What is the length of diagonal PS?
Option A:      1/2
Option B:      circles 02 -59964684
Option C:      4
Option D:      2
Option E:      circles 03 -59732748
  A     B     C     D     E  
Show/Hide Answer and Explanation

Correct Answer: D

Explanation Video

Explanation
The diagonals of a square are equal. Hence, line segment OR (not shown) is equal to SP. Now, OR is a radius of the circle and therefore OR = 2. Hence, SP = 2 as well, and the answer is (D).
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How to Solve Circles

For Circles question first understand the statement and the question stem. Try to solve and click the corresponding answer option. The drop down will appear to show the correct answer and explanation.