1	 In the given figure AMD, APQ and ASR are secants to the given circles. IF AM=4 cm, MD=6 cm and... CAT Quantitative Ability Geometry Circles Properties of Circles Chords, Secants andTangents Chord
2	An isosceles PQR with base PQ = 6 cm, PR = RQ and RPQ = 30° is inscribed in a circle. A small ci... CAT Quantitative Ability Geometry Triangles Circles
3	AB is the diameter of the given circle, while points C and D lie on the circumference as shown. If A... CAT Quantitative Ability Geometry Circles Properties of Circles Chords, Secants andTangents
4	A circle with radius 2 is placed against a right angle. Another smaller circle is also placed as sho... CAT Quantitative Ability Geometry Circles
5	What is the distance in cm between two parallel chords of lengths 32 cm and 24 cm in a circle of rad... CAT Quantitative Ability Geometry Circles Properties of Circles Chords, Secants andTangents Chord
6	A rectangle is inscribed in a circle centre O as shown below, with AB = 5, BC = 12 and angle &a... CAT Quantitative Ability Geometry Circles Properties of Circles Chords, Secants andTangents Angles in a Circle
7	Two chords AB and CD of a circle intersect at E such that, AE = 2.4 cm, BE = 3.2 cm and CE = 1.6 cm.... CAT Quantitative Ability Geometry Circles Properties of Circles Chords, Secants andTangents Chord
8	In the given triangle ABC, DE is drawn parallel to BC such that AD:DB is 2:1 and DE is 14 cm. A circ... CAT Quantitative Ability Geometry Circles Properties of Circles Chords, Secants andTangents Tangent
9	Two circles touch each other externally. If the sum of their areas is 130 π cm2 and the distance... CAT Quantitative Ability Geometry Circles Perimeter and Area of Circles and Sectors
10	In the figure below, P, Q, and R are points on a circle with center O. The tangent to the circle at ... CAT Quantitative Ability Geometry Circles
11	In the given figure, PS is a tangent to a circle with radius 10 cm and centre at O. PQ = 9 cm and th... CAT Quantitative Ability Geometry Circles Properties of Circles Chords, Secants andTangents Tangent
12	In the given figure, a circle is inscribed in the square such that it touches all four sides of the ... CAT Quantitative Ability Geometry Circles Properties of Circles
13	The given figure shows a circle with centre O. AB is a chord on the circle such that AP=(11x+2) cm, ... CAT Quantitative Ability Geometry Circles Properties of Circles Chords, Secants andTangents Chord
14	A chord AB of a circle of radius 5.25 cm makes an angle of 60 degree at the center of the c... CAT Quantitative Ability Geometry Circles
15	Four circular cardboard pieces, each of diameter 28 cm are placed in such a way that each piece touc... CAT Quantitative Ability Geometry Circles Perimeter and Area of Circles and Sectors
16	If a wire is bent into the shape of a square, then the area of the square of 121 m2. If the wire is ... CAT Quantitative Ability Geometry Circles Perimeter and Area of Circles and Sectors
17	PQRS is a square. SR is a tangent (at point S) to the circle with centre O and TR = OS. Then the rat... CAT Quantitative Ability Geometry Circles Properties of Circles Chords, Secants andTangents
18	In the given figure, measure of BAC is Type in your answer as Integer. For example, 23.7 to 24. ... CAT Quantitative Ability Geometry Circles Properties of Circles Chords, Secants andTangents Angles in a Circle
19	In the figure given below, O is the center of the center,  MNO=20o, and NMP=60o, the measu... CAT Quantitative Ability Geometry Circles Properties of Circles Chords, Secants andTangents Angles in a Circle
20	The measure of ADB is: Type in your answer as in Integer. For example, 62.3 to 62. ... CAT Quantitative Ability Geometry Circles Properties of Circles Chords, Secants andTangents Angles in a Circle
21	In the figure below is a circle with centre O, and another circle with centre at the midpoint B... CAT Quantitative Ability Geometry Circles
22	In the given figure, O as center the of the circle, AB = BC = radius of circle. Find the measurement... CAT Quantitative Ability Geometry Circles Properties of Circles Chords, Secants andTangents Angles in a Circle
23	PR and QP are tangents to the bigger circle, PS and PR are tangents to the smaller circle. Length of... CAT Quantitative Ability Geometry Circles Properties of Circles Chords, Secants andTangents Tangent
24	The area of the largest triangle that can be inscribed in a semicircle with radius r is: CAT Quantitative Ability Geometry Circles Perimeter and Area of Circles and Sectors
25	In the given figure, O is the center of the circle. AC, the diameter of the circle, measures 26 cm. ... CAT Quantitative Ability Geometry Triangles Pythagoras Theorem Circles
26	A wire 66 cm long has been put in the form of a circle. Find the area of the circle so formed. Type... CAT Quantitative Ability Geometry Circles Perimeter and Area of Circles and Sectors
27	In the figure given below, AP and PB are tangents to the circle with radius 5 cm. Find the length of... CAT Quantitative Ability Geometry Circles Properties of Circles Chords, Secants andTangents Tangent
28	Two concentric circles have radii 5 cm and 3 cm. The length of the chord of the larger circle which ... CAT Quantitative Ability Geometry Circles Properties of Circles Chords, Secants andTangents Tangent
29	An arc makes an angle of 72o at the centre of a circle of radius 10 cm. Length of the arc is ... CAT Quantitative Ability Geometry Circles Properties of Circles Chords, Secants andTangents Angles in a Circle
30	In the given figure, two circles with their centres O and O’ intersect each other at A and B. ... CAT Quantitative Ability Geometry Circles Properties of Circles
31	ABCD is quadrilateral inscribed inside a circle with centre O such that AB is the diameter of the ci... CAT Quantitative Ability Geometry Circles Properties of Circles Chords, Secants andTangents Angles in a Circle
32	In the figure given below, the measure of angle PRQ is 75o. QP and QR are tangents to the circle. Me... CAT Quantitative Ability Geometry Circles Properties of Circles Chords, Secants andTangents Tangent
33	In the given figure, AD=BA, BDA=54o, BC and CD are tangents to the circle with centre O. Measure of ... CAT Quantitative Ability Geometry Circles Properties of Circles Chords, Secants andTangents Tangent
34	For the figure given below, find the value of x   Type in your answer as in integer. For e... CAT Quantitative Ability Geometry Circles Properties of Circles Chords, Secants andTangents Secant
35	In the figure, O and O’ are the centres of the bigger and smaller circles respectively and sma... CAT Quantitative Ability Geometry Circles
36	If ABO = 20o and ACO =25o, then the measure of BOC is: Type in your answer as in Integer. For exa... CAT Quantitative Ability Geometry Circles Properties of Circles
37	In the figure, where the two arcs are quarter circles, the area of the shaded region is Type... CAT Quantitative Ability Geometry Quadrilaterals and Polygons Circles
38	A circle is inscribed inside a square. The square is inscribed inside another circle. If the area of... CAT Quantitative Ability Geometry Circles
39	In the figure given below, O, Q, P, R are respective centres of circles of different radii and each ... CAT Quantitative Ability Geometry Circles
40	A cow is tied to a peg at one corner of an equilateral triangle shaped grass field by means of a 21 ... CAT Quantitative Ability Geometry Circles Perimeter and Area of Circles and Sectors
41	The diagram below shows a circle with centre O and AB parallel to CD. Given the angles 75◦ and ... CAT Quantitative Ability Geometry Circles Properties of Circles Chords, Secants andTangents Angles in a Circle
42	Two circles of radius 1 cm. touch at point P. A third circle is drawn through the points A, B, and C... CAT Quantitative Ability Geometry Circles
43	What would be the cost of building a 7 m wide garden around a circular field with a diameter of 280 ... CAT Quantitative Ability Geometry Circles Perimeter and Area of Circles and Sectors