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MCQ Geometry - Perimeter and Area

The CAT Online Free Test Prep MCQs Geometry - Perimeter and Area

Geometry: Perimeter and Area

Question:

ABCD is a square and one of its sides AB is also a chord of the circle as shown in the figure. What is the area of the square?

areaperi01 -52001628
Option A:      3
Option B:      9
Option C:      12
Option D:      areaperi02 -87667864
Option E:      18
  A     B     C     D     E  
Show/Hide Answer and Explanation

Correct Answer: E

Explanation Video

Explanation

Side AB is the hypotenuse of the ΔAOB. Hence, by The Pythagorean Theorem, we have AB2 = AO2 + BO2 = 32 + 32 = 18. Hence, the area of the square ABCD equals side2 = AB2 = 18. The answer is (E).

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How to Solve Perimeter and Area

For Perimeter and Area 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.