# Quantitative Aptitude – Geometry – Circles – ABCD is a quadrilateral inscribed

January 1st, 2020 by

Quantitative Aptitude - Geometry - Circles - ABCD is a quadrilateral inscribed Quantitative Aptitude - Geometry - Circles Question ABCD is a quadrilateral inscribed in a circle with centre O. If ∠COD = 120 degrees and ∠BAC = 30 degrees, then the value of ∠BCD (in degrees) is Answer 90 Solution From CAT 2017 - Quantitative Aptitude - Geometry - Circles, we can see that, OD = OC (Radius of circle) So, angle (ODC) = angle (OCD) = 30 deg Angle (DOA) = 60 degrees Angle (BAC) = 30 degrees (Given) OA = OD (radius of circle)

# Quantitative Aptitude – Geometry – Circles – Let ABC be a right-angled isosceles

December 30th, 2019 by

Quantitative Aptitude - Geometry - Circles - Let ABC be a right-angled isosceles Quantitative Aptitude - Geometry - Triangles Question Let ABC be a right-angled isosceles triangle with hypotenuse BC. Let BQC be a semi-circle, away from A, with diameter BC. Let BPC be an arc of a circle centered at A and lying between BC and BQC. If AB has length 6 cm then the area, in sq cm, of the region enclosed by BPC and BQC is A) 9π - 18 B) 18 C) 9π D) 9 Answer Option (B) Solution As per the question from CAT 2017 - Quantitative Ap

# Quantitative Aptitude – Geometry – Circles – A chord of length 5 cm subtends an

December 22nd, 2019 by

Quantitative Aptitude – Geometry - Circles – A chord of length 5 cm subtends an Slot -2 – Quantitative Aptitude – Geometry - Circles – A chord of length 5 cm subtends an A chord of length 5 cm subtends an angle of 60° at the centre of a circle. The length, in cm, of a chord that subtends an angle of 120° at the centre of the same circle is? a) 6√2 b) 8 c) 4√2 d) 5√3 Answer: d) 5√3 Solution: In triangle ODA, OA=AD cosec 30=5 So if the angle AOB is 120 degree, then angle AOD will be 120/2=60

# Quantitative Aptitude – Geometry – Circles – In a circle with center O and radius 1 cm

December 21st, 2019 by

Quantitative Aptitude – Geometry - Circles – In a circle with center O and radius 1 cm Slot -1 – Quantitative Aptitude – Geometry - Circles – In a circle with center O and radius 1 cm In a circle with center 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? a) (π/6)^(1/2) b) (π/(4√3))^(1/2) c)