# CAT 2018 Question Paper | Quants Slot 1

###### CAT Previous Year Paper | CAT Geometry Questions | Question 2

One of the important aspects of CAT Online Preparation is solving CAT Previous year Paper . This question entails CAT Geometry concepts. Arcs, radii, triangles – what not? A typical CAT Geometry question from CAT Previous Year Paper, which would help you gain confidence after solving. Give it a try and watch the video solution.

Question 2 :In a circle with centre O and radius 1 cm, an arc AB makes an angle 60 degrees at O. Let R be the region bounded by the radii OA, OB and the arc AB. If C and D are two points on OA and OB, respectively, such that OC = OD and the area of triangle OCD is half that of R, then the length of OC, in cm, is

1. $$frac{π}{4}$$\frac{1}{2}$ 2. $\frac{π}{6}$$\frac{1}{2}$ 3. $\frac{π}{4√3}$$\frac{1}{2}$ 4. $\frac{π}{3√3}$$\frac{1}{2}$ ## Best CAT Online Coaching Try upto 40 hours for free Learn from the best! #### 2IIM : Best Online CAT Coaching. ### Video Explanation ## Best CAT Coaching in Chennai #### CAT Coaching in Chennai - CAT 2022Limited Seats Available - Register Now! ### Explanatory Answer ##### Method of solving this CAT Question from Geometry Given ∠AOB = 60° Area of Sector AOB = $\frac{60}{360}$ × π × 12 = $\frac{π}{6}$ ---$1)
Given OC = OD => ∠OCD = ∠ODC = 60°
△OCD is an Equilateral Triangle with side = a
Area(△OCD) = $$frac{√3}{4}$ × a × a ---$2)
Its given that Area(OCD) = $$frac{1}{2}$ × Area$OAB)
a2$$frac{√3}{4}$ = $\frac{π}{6×2}$ a =$$$frac{π}{3√3}$)$\frac{1}{2}$ The question is "In a circle with centre O and radius 1 cm, an arc AB makes an angle 60 degrees at O. Let R be the region bounded by the radii OA, OB and the arc AB. If C and D are two points on OA and OB, respectively, such that OC = OD and the area of triangle OCD is half that of R, then the length of OC, in cm, is" ##### Hence, the answer is $\frac{π}{3√3}$$\frac{1}{2}$ cm Choice D 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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