# CAT Quantitative Aptitude Questions | Geometry Questions for CAT - Triangles

###### CAT Questions | CAT Geometry Questions | Triangle

The question is from CAT Geometry - Triangles. In this problem, it discusses about ratio of areas of equilateral triangle inscribed in circle. CAT Geometry questions are heavily tested in CAT exam. Make sure you master Geometry problems.

Question 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:π , 3√3:16π
2. 3√3:4π , 3√3:π
3. √3:π , 3√3:4π
4. √3:π , √3:16π

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### Explanatory Answer

##### Method of solving this CAT Question from Triangles: It is a very basic question.

For any equilateral triangle of side ‘a’
Inradius = $$frac{a}{2√3}\\$ and circumradius = $\frac{a}{2√3}\\$ Area of equilateral triangle = $\frac{√3}{4}\\$a2 Area of smaller circle = π * $\frac{a}{2√3}\\$ * $\frac{a}{2√3}\\$ Area of larger circle = π * $\frac{a}{√3}\\$ * $\frac{a}{√3}\\$ When Equilateral triangle T inscribed in circle C, Ratio of Areas of T and C :: 3√3:4π When Circle C inscribed in equilateral triangle T, Ratio of Areas of T and C :: 3√3:π The question is "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? " ##### Hence, the answer is 3√3:4π , 3√3:π Choice B is the correct answer. ###### Best Online CAT CoachingLearn from 4 time CAT 100 percentiler Register in 2 easy steps and start learning in 30 seconds! ###### Already have an Account? ###### CAT Coaching in Chennai Next Weekend Batch Starts Sat, April 27th, 2019 ###### Best CAT Coaching in ChennaiBatches filling fast Personalised attention, Small batch sizes. ## CAT Preparation Online | CAT Geometry questions Videos On YouTube #### Other useful sources for Geometry Question | Geometry Triangles Circles Quadrilaterals Sample Questions ##### Where is 2IIM located? 2IIM Online CAT Coaching A Fermat Education Initiative, 10-C, Kalinga Colony, Bobbili Raja Salai K.K.Nagar, Chennai. India. Pin - 600 078 ##### How to reach 2IIM? Phone:$91) 44 4505 8484
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