CAT Practice : Coordinate Geometry

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If you find the relation between the sides of sqaure , triangle and the radius , then you are through!!

Circle, Square and Triangle

    Q.22: A circle inscribed in a square of side 2 has an equilateral triangle inscribed inside it. What is the ratio of areas of the equilateral triangle to that of the square?
    1. 9 : 16
    2. 3 : 4
    3. 9 : 4
    4. 3 : 16

 

  • Correct Answer
    Choice (D). 3 : 16 units

Detailed Solution



The radius of the circle is 1 unit.
If we considered the side of the equilateral triangle to be ‘a’, the circumradius of an equilateral triangle is R = . a = .
So, ratio of areas of the equilateral triangle to that of the square is

2 : (2)2

3 : 4

3 : 16



Correct Answer: 3 : 16 units



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Geometry is probably the most vital topic as far as CAT preparation is concerned. Geometry sets the stage for Trigonometry, Cogeo and Mensuration as well.