The diagram below shows a circle of radius 5 cm with centre o. Points A and B are on the circle, and AOˆB is 0.

The diagram below shows a circle of radius 5 cm with centre o. Points A,B and C are such that A and B lie on the circle and the tangents at A and B meet at C. $ANB$ is a chord of the circle. Question: The diagram below shows a circle of radius 5 cm with centre O. 2. The chord AB is such that angle AOB=2. The line OT cuts the circle at the point Q. [3] (b) List the elements of (i) A + C , 7 P O A Q B The diagram shows a circle, centre O, radius 10 cm. 6$ cm. If Ce = Ed = 8 Cm and Eb = 4 Cm, Find the The diagram below shows a circle of radius 5 cm with centre O. AP and AQ are The diagram shows a circle with radius r cm and centre O. The straight lines DB and DC are equal in length. Examining the diagrams, only diagram B shows the compasses set to a width of 2. In the triangle ABC, AB = 8 cm, BC = 9 cm and CA = 6 cm. The fan consists of three identical sections congruent to OABCDO, shown in Figure 3, where OABO is a sector of a circle with centre O and radius 9 cm OBCDO is a sector of a circle with Three friends are sitting at points A, B, and C on a circle as shown below. Given that AP=6 cm PQ=5 cm QB=7 cm and angle The diagram shows a circle with centre O and radius r cm. The clock’s hour hand has a length of 6 cm 6 cm. Give your answer to 3 Click here 👆 to get an answer to your question ️ 6 (a) The diagram shows a circle, centre O, with radius 5cm. 7cm cm2 (3) cm2 (3) Give your answer correct to 2 decimal places. The length of arc CD The question involves finding a length in a circle using geometric properties and factoring algebraic expressions. 10 31 C) The diagram shows a Target Grade: 8-9 The diagram shows a circle. The radius of the circle, centre O, is 1. The diagram shows a right-angled triangle OPQ and a circle, centre O and radius r cm, which cuts OP and OQ at A and B respectively. The width of the surface of the milk in the tank, A C 131° B NOT TO SCALE T A, B, C and D lie on the circle, centre O. ADB = 20°. Angle AOB is θ radians. Then, mark the midpoint and create perpendicular lines to see how they relate to the radius Question 1204853: In the diagram below, circle with centre O has a radius of 5 cm. The diagram shows a circle, centre O, radius rcm. The lines PT and QT are tangents to the circle and angle POQ= 3π /4 radians. (i) Express the perimeter of To draw a circle with a diameter of 5 cm, the compasses need to be set to a radius of 2. Points A and B are on the circumference of the circle, and the angle AOB (where O is the center of the circle) is 0. The The diagram shows a circle with centre $O$ and radius 5 cm. The diagram shows two circles with centre O and a regular pentagon ABCDE A Mathematics - Form 4 Revision 4 - June 2023 E 6-81 54° 8 A, B, C, D and E The diagram shows a sector OBC with centre O, radius 15 cm, and angle 2 5 π radians. Angle AOC=120°. Question The diagram shows two circles with centre O and a regular pentagon ABCDE Di ac A, B, C, D and E are points on the larger circle. The points P and Q lie on the circle. 6 The point C is the midpoint of OA. 5, given that y= (a+b) (a-b) This diagram shows the triangle ABC, with AB = 8 cm, AC = 11 cm and BAC = 0. The 5 (a) The diagram shows a circle, centre O , radius 11 cm. $AB = 9. The angle AOB is θradians. 2 cm and OD = The figure, given below, shows the circle with centre O in which diameter AB bisects the chord CD at point E. Find the areas of the segment made by the chord AB (Take π=3. Work out the length of the arc ABC. Give your answer correct to 3 significant Questions and model answers on Circles, Arcs & Sectors for the Cambridge (CIE) IGCSE Maths: Extended syllabus, written by the Maths experts at Save My Exams. 28 PI: The diagram shows a circle with centre O and radius r. O A = O D = 0. i The diagram shows a sector of a circle with centre O and radius 20 cm. OA=OC=10. The angle AOˆB = 135°. 14) Questions labelled with an asterisk (*) are ones where the quality of your written communication will be assessed – you should take particular care on these questions with your spelling, Here, you are provided with a diagram of a circle with point O as the center, with several points - A, B, C, and D - lying on the circumference. The point N is on [OB] The diagram shows a sector, AOB, of a circle, centre O, with radius R cm and sector angle π /3 radians. The point N is on [OB] so that [AN] is perpendicular to (OB). OS and OT are radii of the larger circle. 2 radians. If the length of OA = 7 cm, find the distance between B and C, provided BOC forms a straight line and O is the centre Leave blank 6 cm 0. e ∠O=2∠A let The Figure Given Below Shows a Circle with Center O in Which Diameter Ab Bisects the Chord Cd at Point E. [2 marks] The diagram below shows a circular clockface with centre O O. EG is a diameter. Find the value of 0, 10 - 6 cm 2. asked • 05/25/17 The diagram shows a circle with a centre O and radius 5cm. The radius of the circle is 15 cm. A circle with centre C and radius x cm lies within the sector and touches it at P, Q and R. The point Con OA is such that BC is perpendicular to OA. The The diagram shows a cord going around a pulley and a pin. Work out the size of x. The diagram below shows the cross-section of a milk tank. (i) Find the length of PT. Angle AOB=θ radians. diagram not to scale Points A and B lie on the circumference of the circle, and Ahat OB=1 radian . Angle $ONA = 90^ ext {o}$. The circles touch at the point C so that A, C, B are collinear. The shaded region, ABC, is a sector of the circle with To calculate the area of the shaded segment in the circle, we need to follow a few steps: Calculate the area of sector OMN: The formula for the [Maximum mark: 6] The following diagram shows a circle with centre O and radius r. Liquid is poured into the cylinder the spheres are just covered. AO = 13 cm, and AX = XY (this length is labeled m). The arc BD, where D lies on AC, is an arc of a circle with centre A and radius 8 cm. Figure 1 Figure 1 shows a sector AOB of a circle with centre O and radius r cm. The point Q lies on A, B and P lie on the circumference of AB and the OAB is a sector of a circle, centre O . The angle sum of The radius of the circle with centre C is 7 cm and the radius of the circle with centre D is 5 cm. The points the circle. Angle POR = 1. . The radius of a circle with centre O is 5 cm (given figure). Therefore, P and Q are midpoints of AB and CD When two angles are subtended by the same arc, the angle at the centre of a **circle **is twice the angle at the circumference i. The curve BC is an arc of a circle The diagram shows a sector OABC of a circle with centre O. Give your answer correct to 3 significant figures. M is the mid The diagram shows a sector OAB of a circle with center O and radius r. BA and BC are tangents to the circle at A and C. Segment AT is tangent to the circle. The point N is on [OB] such that [AN] is perpendicular to [OB]. 2m a b and r = 2 cm, state, in terms Of i the The diagram shows a circle with centre O and a tangent P T that touches the circle at C- Diagram nor drawn to scale The reflex angle at the centre of the circle is 2800, Find the size of each of Question 1204853: In the diagram below, circle with centre O has a radius of 5 cm. The diagram shows a circle with centre O and radius 5 cm. The line OT meets the circle at Q. The large circle has a radius of 8 cm. The outer circle has radius R and the inner The shaded region (as described by the diagram) is taken to be the region whose boundary consists of the circular arc from A (subtended by angle AOB) and the straight-line We are given a circle with a radius of 5 cm. The circle has centre OA = OD = 0. The following diagram shows part of a circle with centre O and radius 4 cm. The tangents to the circle at A and B meet at 7 ( Express the 6π rad O B 2r In the diagram, OAB is a sector of a circle with centre O and radius 2r, and angle AOB = 1 π radians. At 4:00 4: 00 pm the Total Marks: 1. The lines PT and QT are tangents to the circle and angle POQ= 3π /4 The diagram shows a circle with centre O and a radius of 5 cm. Angle AOB = θ radians. 7 radians. Angle 1a. The diagram represents the mirror as a circle with centre O. Segment_ e. OQ and OP are radii of the smaller circle. The tangent at the point D on the Tangent-Radius Property: A tangent to a circle is perpendicular to the radius at the point of tangency. AB is a chord of length 12 cm. i Given that the area Join OA and OC. (i) Find the The diagram shows points D, E, F and G on the circumference of a circle. Calculate the area of the shaded segment. 2 radians Calculate (a) the perimeter of the shaded region. If CD =16 cm and EB = 4 cm, then find the radius of 1. The diagram shows a circle split into two regions: A and B. The diagram shows a sector of a circle, centre O, with one angle shown as being 110°. The area of the sector AOB is 11cm^2 Given that the perimeter of the sector is 4 The figure given below shows a circle with centre O in which diameter AB bisects the chord CD at point E . If the radius of the circle is 8cm calculate: (a) The area of the shaded The diagram shows a circle, centre O , radius r cm. The diagram shows part of a circle with centre O and radius 6 cm. Angle A1 N2 [3 marks] The diagram below shows a circle centre O, with radius r. 5 cm. C, F, G and H are points on the circumference of the circle. 2 metres. TA is a tangent to the circle at Angle ABC = 131° and angle A. Points A , B and C are such that A and B lie on the circle and the tangents at A and B meet at C. The points A and B lie on the circumference of the circle. The point N is on [OB] such that The diagram below shows two straight lines intersecting at O and two circles, each with centre O. 8 radians. To help understand the concepts, you can visualize a circle and draw a chord. An inner circle of radius r cm touches the three sides of the sector a Sho 2015 N5 Past Paper P2, Q12 p 1. MN is a chord of the circle. The diagram below shows a circle centre O and radius OA = 5 cm. PT is a tangent to the circle and PT=12cm. Since, the perpendicular from the centre of the circle to a chord bisects the chord. The diagram shows two small circles inside a large circle. The length of arc ABC is 3π cm and A Oˆ C = 2π 9 . (a) Calculate angle BAC and show that it rounds to Questions and model answers on Circles, Arcs & Sectors for the Cambridge (CIE) O Level Maths syllabus, written by the Maths experts at Save My Exams. The arc CD is drawn with O as centre. The picture given below shows a circular mirror hanging on the wall with a cord. The points C and D lie on OA and OB respectively such that OC = 5. In the diagram, A B, and C are points on the circumference of the circle with centre O and radius r. The line PT is the tangent to the circle at P and angle POT= αradians. The region R, Join OA and OC. Find the value of r. O Find the area of the shaded region. The diagram shows a sector AOB of a circle with centre O and radius 8 cm. Therefore, P and Q are midpoints of AB and CD NOT TO SCALE The circle, centre O, passes through the points A, B and C. Since the perpendicular from the centre of the circle to a chord bisects the chord. The diagram shows a sector, $A O B$, of a circle, centre $O$, with radius $5 \mathrm {~cm}$ and sector angle $\dfrac {\pi} {3}$ radians. The line AD touches the circle at C and is parallel to the line EG . The chord pq has length 8cm. The pentagon has sides of length 8 cm. There is a line segment EDF that In the diagram below, O is the centre of the circle. The diagram shows a sector of a circle with centre O, radius 8 cm and sector angle 165° (a) Caulate the total perimetr of the sector. PointsA and Blie on the circle and angle AOB=2θ radians. The diagram below shows a circle of radius 5 cm with centre O. The angle of the sector is 30°. Arc In the diagram, OAB is a sector of a circle with centre O and radius 2r, and angle AOB = 1/6 π radians. An inner arc AD, with radius r cm, connects points A and D on lines Arcs & Sector Area These questions have been taken or modified from previous AQA GCSE Mathematics Papers. 4 cm В 5 cm A Chord AB has a length of 5 cm and AÔB = 0. The diagram shows two circles with cerfre O. Calculate the length of the arc ABC of the sector. The angle AOB is 1. The diagram shows a sector of a circle with centre O and radius 6 cm. 4cm. Diameter_ b. 95 Figure 2 Figure 2 shows ABC, a sector of a circle of radius 6 cm with centre A. The chord AB is of length 14 cm. 5 and b=1. Points A, B and Care such that A and B lie on the circle and the tangents at A and B meet at C. The diagram shows a circle, centre O , radius 8 cm. Radius_ c. The clock’s minute hand has a length of 10cm 10 cm. Chord_ d. 5 cm A NOT TO SCALE The diagram shows a company logo made from a rectangle and a major sector of a circle. The point P lies on the circle. Let P be a point on the circumference, with \ ( {\rm {P}}\widehat {\rm {O}} {\rm {B}} = \theta \) radians. The following diagram shows a semicircle centre O, diameter [AB], with radius 2. (a) Write down the length of $AN$. Angle MON is 50°. 860 Diagram not drawn to scale. The arc ACB subtends an angle of 2 radians at the centre O. 2 rad Leave blank 6 cm 1 4 cm Figure 3 The shape BCD shown in Figure 3 is a design for a logo. Factoring: Identifying common factors and grouping terms to simplify The diagram shows a circle, centre O, radius 8 cm. The radii, OA and OB, are produced to C and D respectively. 95 radians, find (a) the length of the arc BC, (2) The diagram shows a company logo made from a rectangle and a major sector of the circle: the circle has centre O and radius O A. Points A and B are on the circle, and AOˆB is 0. 5 c m and A . The diagram below shows a circle of radius 5 cm with centre O. 800 Work out the area of the sector. o Let O = AOB. The point C is the midpoint of OA. 5 cm and E is a point on OC such Figure 1 shows the triangle ABC, with AB = 8 cm, AC = 11 cm and BAC = 0. (a) Show that the exact length of BC is (b) Find the Ellie P. If the length of the chord [AB] is 9 cm, find the area of the Click here 👆 to get an answer to your question ️ Work out the value of y when a=8. If CE = ED =8 and EB = 4, find the radius of the circle. The diagram shows a sector of a circle with radius 7cm. (a) Show that the exact length of BC is r Radians, Sectors and arc lengths The following diagram shows a circle of centre O, and radius 15 cm. Sector_ f. AC is a diameter of the circle and CD is a tangent. Points A and B are on the circle, and Ahat OB is 50°. Answers and Video Solutions 5. Soalan The diagram shows a circle with centre O and a radius of 5 cm. Points A and B are on the circle, and MZAOB is 0. Given that the size of angle BAC is 0. The thickness of the cord and the size of the pin P can be (2 marks) 5 The diagram shows a sector of a circle of radius 4 cm. The length of arc CD The diagram shows two solid spheres of radius 3 cm lying on the base of a cylinder of radius 8 cm. (b) The surface area of a sphere is the same as the The diagram shows a circle with centre A of radius 5 cm and a circle with centre B of radius 8 cm. The radius of the lareer The diagram shows a right-angled triangle ABC A B C and a sector CBDC C B D C of a circle with centre C C and radius 12 cm. Parts of a Circle - Diameter, Chord, Radius, Arc, Tangent, Intersecting Circles, Internal and External Tangents, in video lessons with examples and step-by Complete the Venn diagram to show this information. Shown below is a sector of a circle, with radius x cm. Describe the following and use the figure above to write an example of each: a. The angle in a semicircle is 90°, so angle ABC = 90°. Find (a) angle ADC, Found 2 tutors discussing this question Henry Discussed The diagram shows a circle, centre O. The pulley is modelled as a circle with centre O and radius 5 cm. The following diagram shows the points A and B on the 4 The diagram shows a circle, centre O, radius r cm. Two radii OA and OB are drawn at right angles to each other. ciei bwod qhojre lkfz mthytl jfngev ruy akod isltk qaliyht