# CAT 2018 Question Paper | Quants Slot 1

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

The best questions to practice for CAT Exam are the actual CAT Question Papers. 2IIM offers you exactly that, in a student friendly format to take value from this. If you would like to take the same inside a testing engine (for Free) head out here: CAT Official Question Mocks. In CAT 2018 we saw some beautiful questions that laid emphasis on Learning ideas from basics and being able to comprehend more than remembering gazillion formulae and shortcuts. Original CAT Question paper is the best place to start off your CAT prep practice. This page provides exactly that. To check out about 1000 CAT Level questions with detailed video solutions for free, go here: CAT Question Bank

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}$$\frac{1}{2}$ ## 2IIM : Best Online CAT Coaching #### 2IIM's Online CAT Coaching4000 off on CAT Online Course for CAT 2020. Vaild till Dec 16thCAT Online Coaching ### Video Explanation ## Best CAT Coaching in Chennai #### CAT Coaching in Chennai - CAT 2020Starts Sat, December 14th, 2019 ### Explanatory Answer ##### Method of solving this CAT Question from Geometry Given ∠AOB = 60° Area of Sector AOB = $\frac{60}{360}$ × π × 12 = $\frac{π}{6}$ ---$1)
Given OC = OD => ∠OCD = ∠ODC = 60°
△OCD is an Equilateral Triangle with side = a
Area(△OCD) = $$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. ###### 2IIM's Online CAT Coaching4000 off on CAT Online Course for CAT 2020. Vaild till Dec 16th Signup Now! ###### Already have an Account? ###### CAT Coaching in ChennaiCAT 2020Enroll at 44,000/- Next Weekend Batch Starts Sat, Dec 14th, 2019 ###### Best CAT Coaching in ChennaiRegister Online, get Rs 4000/- off Attend a Demo Class ##### 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? Phone:$91) 44 4505 8484
Mobile: (91) 99626 48484
WhatsApp: WhatsApp Now
Email: prep@2iim.com