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 Hexagon.

Ratio of Areas

    Q.28: Consider Regular Hexagon H inscribed in circle C, what is ratio of the areas of H and C? Consider Circle C inscribed in Regular Hexagon H, what is ratio of the areas of H and C?
    1. 2 : , 3 :
    2. 3 : , 3 :
    3. 3 : , 2 :
    4. : , :

 

  • Correct Answer
    Choice (C). 3 : , 2 :

Detailed Solution

Consider regular hexagon of side ‘a’.

Inradius = altitude of equilateral triangle of side a =



Circumradius = a.

Area of regular hexagon = 6 *

Area of smaller circle = =

Area of larger circle =

When Hexagon H inscribed in circle C,
Ratio of Areas of H and C :: 3 :

When Circle C inscribed in Regular Hexagon H,
Ratio of Areas of H and C :: 2 :





Correct Answer: (C). 3 : , 2 :



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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.