Welcome to your Geometry(Senior Class Maths Study by Topics) NAME EMAIL PHONE NUMBER 1. In a triangle ABC, the lengths of the sides AB and AC equal 17.5 cm and 9 cm respectively. Let D be a point on the line segment BC such that AD is perpendicular to BC. If AD = 3 cm, then what is the radius (in cm) of the circle circumscribing the triangle ABC?54525852. A semi-circle is drawn with AB as its diameter. From C, a point on AB, a line perpendicular to AB is drawn meeting the circumference of the semi-circle at D. Given that AC = 2 cm and CD = 6 cm, the area of the semi-circle (in sq. cm) will be81π32π40.5π50π3. Find the volume of a closed conical container with radius 5 cm and a height of 15 cm.4833932541244. The vertices of the inscribed (inside) square bisect the sides of the second (outside) square. Find the ratio of the area of the outside square to the area of the inscribed square.1:42:11:32:35. In the adjoining figure, chord ED is parallel to the diameter AC of the circle. If ∠∠ CBE = 650, then what is the value of ∠∠DEC? 55°25°45°35°6. Euclid has a triangle in mind. Its longest side has length 20 and another of its sides has length 10.Its area is 80. What is the exact length of its third side√290√260√250√2707. A piece of paper is in the shape of a right-angled triangle and is cut along a line that is parallel to the hypotenuse, leaving a smaller triangle. There was 35% reduction in the length of the hypotenuse of the triangle. If the area of the original triangle was 34 square inches before the cut, what is the area (in square inches) of the smaller triangle?16.66514.36516.56515.4658. ABC is a right triangle with the size of angle ACB equal to 74 degrees. The lengths of the sides AM, MQ and QP are all equal. Find the measure of angle QPB.148°135°35°94°9. In the figure (not drawn to scale) given below, P is a point on AB such that AP : PB = 4 : 3. PQ is parallel to AC and QD is parallel to CP. In ΔARCΔARC, ∠ARC =900 and in ΔPQSΔPQS, ∠PSQ =900The length of QS is 6 cm. What is the ratio of AP : PD? 8:37:310:32:310. The figure below shows two concentric circles with centre O. PQRS is a square inscribed in the outer circle. It also circumscribes the inner circle, touching it at points B, C, D and A. What is the ratio of the perimeter of the outer circle to that of polygon ABCD?π/2π/4π3π/211. A circle with radius 2 is placed against a right angle. Another smaller circle is also placed as shown in the adjoining figure. What is the radius of the smaller circle? 2+ 2√22-√23-√23-2√212. What is the number of distinct triangles with integral valued sides and perimeter 14?465313. Find the measure of angle A in the figure below.98°103°87°51°14. In triangle DEF shown below, points A, B and C are taken on DE, DF and EF respectively such that EC = AC and CF = BC. If ∠D=400, then ∠ACB =702010014015. In the diagram given below, ∠ABD = ∠CDB = ∠PQD = 90° . If AB:CD = 3:1, the ratio of CD: PQ is 1:0.691: 0.720.5 : 11 :0.7516. On a semicircle with diameter AD, chord BC is parallel to the diameter. Further, each of the chords AB and CD has length 2, while AD has length 8. What is the length of BC? 75751517. Two circles with centres P and Q cut each other at two distinct points A and B. The circles have the same radii and neither P nor Q falls within the intersection of the circles. What is the smallest range that includes all possible values of the angle AQP in degrees?Between 0 and 60Between 0 and 90Between 0 and 30Between 0 and 7518. Which two angles are complementary?21 degrees and 78 degrees67 degrees and 23 degrees58 degrees and 22 degrees 140 degrees and 40 degrees19. What is the distance in cm between two parallel chords of lengths 32 cm and 24 cm in a circle of radius 20 cm?2 or 141 or 74 or 283 or 2120. In the following figure, the diameter of the circle is 3 cm. AB and MN are two diameters such that MN is perpendicular to AB. In addition, CG is perpendicular to AB such that AE:EB = 1:2, and DF is perpendicular to MN such that NL:LM = 1:2. The length of DH in cm is (2√2-1)/ 32√2-1(3√2-1)/ 2(2√2-1)/ 221. Each side of the square pyramid shown below measures 10 inches. The slant height, H, of this pyramid measures 12 inches.What is the area, in square inches, of the base of the pyramid?200 sq. inches120 sq. inches220 sq. inches100 sq. inches22. Find the size of angle x in the figure below36°56°24°84°23. PQRS is a cyclic quadrilateral and the diagonals PR and QS intersect at T. If <SPR = 47° and <PTQ = 98°,calculate <PRQ51 degrees145 degrees94 degrees47 degrees24. Each side of a given polygon is parallel to either the X or the Y axis. A corner of such a polygon is said to be convex if the internal angle is 90° or concave if the internal angle is 270°. If the number of convex corners in such a polygon is 25, the number of concave corners must be020212225. The length of the common chord of two circles of radii 15 cm and 20 cm, whose centres are 25 cm apart, is20 cm24 cm25 cm15 cm26 out of 25Time is Up!