Please enter the following details
Free Daily Targets & Mocks
Study Material & Formulas PDFs
1 on 1 Mentorship
Question 59
A circle is inscribed in a rhombus with diagonals 12 cm and 16 cm. The ratio of the area of circle to the area of rhombus is
Solution
Let the length of radius be 'r'.
From the above diagram,
$$x^2+r^2=6^2\ $$....(i)
$$\left(10-x\right)^2+r^2=8^2\ $$----(ii)
Subtracting (i) from (ii), we get:
x=3.6 => $$r^2=36-\left(3.6\right)^2$$ ==> $$r^2=36-\left(3.6\right)^2\ =23.04$$.
Area of circle = $$\pi\ r^2=23.04\pi\ $$
Area of rhombus= 1/2*d1*d2=1/2*12*16=96.
.'. Ratio of areas = 23.04$$\pi\ $$/96=$$\frac{6\pi}{25}$$
Video Solution
Your Doubts
Ask a Doubt
(know more)
Drop Your File Here!
Ask Your Doubt
Drop Your File Here!
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 Profit and Loss QuestionsCAT Simple Interest Compound Interest QuestionsCAT Remainders QuestionsCAT Number Series QuestionsCAT Number Systems Questions
CAT DILR Questions | LRDI Questions For CAT
CAT DI with connected data sets QuestionsCAT Miscellaneous LR QuestionsCAT Coins and Weights QuestionsCAT Selection With Condition QuestionsCAT Scheduling Questions
