CAT Practice : Coordinate Geometry

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Very simple Question!! Go about it by focussing on the radius of the circle or side of the Triangle.

Ratio of Areas

    Q.27: Consider equilateral triangle T inscribed in circle C, what is ratio of the areas of T and C? Consider Circle C inscribed in equilateral triangle T, what is ratio of the areas of T and C?
    1. 3 : , 3 :
    2. 3 : , 3 :
    3. : , 3 :
    4. : , :

 

  • Correct Answer
    Choice (B). 3 : , 3 :

Detailed Solution

For any equilateral triangle of side ‘a’:
Inradius = and circumradius =



Area of equilateral triangle = * a2

Area of smaller circle =

Area of larger circle =

When Equilateral triangle T inscribed in circle C,
Ratio of Areas of T and C :: 3 :

When Circle C inscribed in equilateral triangle T,
Ratio of Areas of T and C :: 3 :





Correct Answer: (B). 3 : , 3 :



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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.