Please enter the following details
Free Daily Targets & Mocks
Study Material & Formulas PDFs
1 on 1 Mentorship
Question 21
A semi-circle is drawn with AB as its diameter. From C, a point on AB, a line perpendicular to AB is drawn meeting the circumference of the semi-circle at D. Given that AC = 2 cm and CD = 6 cm, the area of the semi-circle (in sq. cm) will be:
Solution
In triangle CDO, which is a right anged triangle, we can use pythagoras theorem.
$$6^2$$ + $$(r-2)^2$$ = $$r^2$$
=> 36 + $$r^2 - 4r + 4$$ = $$r^2$$
=> 4r = 40
=> r = 10
=> Area = $$\pi *10*10/2$$ = $$50\pi $$
Video Solution
Create a FREE account and get:
- All Quant CAT complete Formulas and shortcuts PDF
- 35+ 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 Remainders QuestionsCAT Arithmetic QuestionsCAT Venn Diagrams QuestionsCAT Number Systems QuestionsCAT Averages Mixtures Alligations Questions
CAT DILR Questions | LRDI Questions For CAT
CAT Data Interpretation Basics QuestionsCAT Data Interpretation QuestionsCAT Venn Diagrams QuestionsCAT Table with Missing values QuestionsCAT Games and Tournamnents Questions
