Join WhatsApp Icon CAT WhatsApp Group
Question 28

A circle with radius 2 is placed against a right angle. Another smaller circle is also placed as shown in the adjoining figure. What is the radius of the smaller circle?

Solution

Share

Using pythagoras we can find diagonal of small square shown in fig. = 2*$$\sqrt2$$ . Now this is equal to 2 + r +  $$\sqrt2$$ *r. Equating we get r = $$6- 4 \sqrt{2}$$

Video Solution

video
View More Questions From Geometry

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 Geometry QuestionsCAT Progressions and Series QuestionsCAT Remainders QuestionsCAT Simple Interest Compound Interest QuestionsCAT Inequalities Questions

CAT DILR Questions | LRDI Questions For CAT

CAT Table based DI Sets QuestionsCAT DI Miscellaneous QuestionsCAT Coins and Weights QuestionsCAT Data change over a period QuestionsCAT Quant Based LR Questions

CAT Verbal Ability Questions | VARC Questions For CAT

CAT Verbal Ability QuestionsCAT Para Jumbles QuestionsCAT Grammar and Sentence Correction QuestionsCAT Reading Comprehension QuestionsCAT Odd One Out Questions

Free CAT Quant Questions

CAT Progressions and Series

CAT Time And Work

CAT Inequalities

CAT Time Speed Distance

CAT Arithmetic

CAT Logarithms

CAT Logarithms, Surds and Indices

CAT Number Series

CAT Time, Speed and Distance

CAT Quadratic Equations

CAT Linear Equations

CAT Venn Diagrams

CAT Algebra

CAT Remainders

CAT Percentages

CAT Averages, Ratio and Proportion

CAT Coordinate Geometry

CAT Number Systems

CAT Mensuration

CAT Simple Interest Compound Interest

CAT Functions, Graphs and Statistics

CAT Profit and Loss

CAT Averages Mixtures Alligations

CAT Geometry

CAT Profit And Loss

CAT Data Sufficiency

CAT Probability, Combinatorics

CAT Averages

Related Formulas With Tests

Triangles - Properties