Please enter the following details
Free Daily Targets & Mocks
Study Material & Formulas PDFs
1 on 1 Mentorship
Question 24
A circle is inscribed in a given square and another circle is circumscribed about the square. What is the ratio of the area of the inscribed circle to that of the circumscribed circle?
Solution
As we know that area of the circle is directly proportional to the square of its radius.
Hence $$\frac{A_{ic}}{A_{cc}} = \frac{\frac{x^2}{4}}{\frac{x^2}{2}}$$
Where $$x$$ is side of square (say), ic is inscribed circle with radius $$\frac{x}{2}$$, cc is circumscribed circle with radius $$\frac{x}{\sqrt{2}}$$
So ratio will be 1:2
Video Solution
Create a FREE account and get:
- All Quant CAT complete Formulas and shortcuts PDF
- 38+ CAT previous year papers with video solutions PDF
- 5000+ Topic-wise Previous year CAT Solved Questions for Free
CAT Quant Questions | CAT Quantitative Ability
CAT Number Series QuestionsCAT Mensuration QuestionsCAT Geometry QuestionsCAT Functions, Graphs and Statistics QuestionsCAT Averages Mixtures Alligations Questions
CAT DILR Questions | LRDI Questions For CAT
CAT Quant Based DI QuestionsCAT Coins and Weights QuestionsCAT Miscellaneous LR QuestionsCAT Truth Lie Concept QuestionsCAT Games and Tournamnents Questions
