# CAT 2022 Question Paper | Quant Slot 3

###### CAT Previous Year Paper | CAT Quant Questions | Question 18

CAT 2022 Quant was dominated by Arithmetic followed by Algebra. In Arithmetic, the questions were dominated by topics like Speed-time-distance, Mixture and Alligations. This year, there was a surprise. The questions from Geometry were relatively on the lower side as compared to the previous years. There were 8 TITA Qs this year. Overall this section was at a medium level of difficulty.

Question 18 : In a triangle $$mathrm{ABC}, $mathrm{AB}=\mathrm{AC}=8 \mathrm{cm}$. A circle drawn with $\mathrm{BC}$ as diameter passes through $\mathrm{A}$. Another circle drawn with center at A passes through B and $\mathrm{C}$. Then the area, in sq. $\mathrm{cm}$, of the overlapping region between the two circles is 1. $16$$pi-1$$ 2. $32$$pi-1)$ 3. $32 $pi$ 4. $16 \pi$ ## Best CAT Online Coaching Try upto 40 hours for free Learn from the best! #### 2IIM : Best Online CAT Coaching. ### Video Explanation ## Best CAT Coaching in Chennai #### CAT Coaching in Chennai - CAT 2022Limited Seats Available - Register Now! ### Explanatory Answer AB = AC = 8cm Since BC is the diameter, angle A has to right-angled and angle B = angle C = 45 degrees. Therefore, the radius of the circle centred at O is $4 \sqrt { 2 }$. The radius of the circle centred at Aa is 8cm. The common area between them =$half of the smaller circle$ + (and the minor segment created by the chord BC in the bigger circle)
= $$frac { 1 } { 2 } $pi$ 4 $sqrt { 2 }$ ^ { 2 }$ +$Ar(sector AOB) - Ar(AOB))
= $16 $pi$ +$Ar(sector AOB) - Ar(AOB))
= $16 $pi$ +$$$frac { 1 } { 4 } $pi$ 8$ ^ { 2 }$ - $$frac { 1 } { 2 } * 8 * 8$) = $16 $pi + 16 \pi - 32$ = $32 \pi - 32$ = $32$ $pi - 1$$ ##### The answer is '$32$$pi-1)$' Choice B is the correct answer. ###### Best CAT Online Coaching Try upto 40 hours for free Learn from the best! ###### Prepare for CAT 2024 with 2IIM's Daily Preparation Schedule ###### Know all about CAT Exam Syllabus and what to expect in CAT ###### Already have an Account? ###### CAT Coaching in ChennaiCAT 2024 Classroom Batches Starting Now! @Gopalapuram and @Anna nagar ###### Best CAT Coaching in Chennai Attend a Demo Class ###### Best Indore IPM & Rohtak IPM CoachingSignup and sample 9 full classes for free. Register now! ## CAT Questions | CAT Quantitative Aptitude ## CAT Questions | Verbal Ability for CAT ##### Where is 2IIM located? 2IIM Online CAT Coaching A Fermat Education Initiative, 58/16, Indira Gandhi Street, Kaveri Rangan Nagar, Saligramam, Chennai 600 093 ##### How to reach 2IIM? Mobile:$91) 99626 48484 / 94459 38484
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