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GEOMETRYGEOMETRY Circle Terminology. Component of Geometry Point (dot) Line  At least two points given Angle  If two line intersect in a point Plane.

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Presentation on theme: "GEOMETRYGEOMETRY Circle Terminology. Component of Geometry Point (dot) Line  At least two points given Angle  If two line intersect in a point Plane."— Presentation transcript:

1 GEOMETRYGEOMETRY Circle Terminology

2 Component of Geometry Point (dot) Line  At least two points given Angle  If two line intersect in a point Plane  Something which has area Space  something which boundary at least by two plane

3 Circle Set of points which have same distance into one permanent point Same distance = radius = r Permanent point is central point

4 Radius (or Radii for plural) The segment joining the center of a circle to a point on the circle. Example: OA adopted from

5 Diameter A chord that passes through the center of a circle. Example: AB What is AO? What is OB? What is relation between radius and diameter? Radius d=2r

6 Chord A segment joining two points on a circle Example: AB

7 Chord A segment joining two points on a circle Example: AB AB= diameter So, what is relation between chord and diameter? Diameter is the longest chord

8 Secant A line that intersects the circle at exactly two points. Example: AB

9 Secant A line that intersects the circle at exactly two points. Example: AB

10 Tangent A line that intersects a circle at exactly one point. Example: AB

11 Central Angle An angle whose vertex is at the center of a circle. Example: Angle ABC

12 Inscribed Angle An angle whose vertex is on a circle and whose sides are determined by two chords. Example: Angle ABC

13 Arc A figure consisting of two points on a circle and all the points on the circle needed to connect them by a single path. Example: arc AB What is the longest arc?circumference

14 Intercepted Arc An arc that lies in the interior of an inscribed angle. Example: arc AC

15 Two Intercepted Arc If angle is inside the circle. Example: arc AC arc DF

16 If angle is outside the circle. Example: arc DE arc DC Two Intercepted Arc

17 Apothem The shortest distance between center point and chord Example: OA A

18 Segment Area which bordered by arc and chord Shaded area is minor segment Plain area is major segment O

19 Sector Area which bordered by two radii and an arc Shaded area is minor sector Plain area is major sector O

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21 Requirements:- Compass Pencils Eraser Scale Set Square

22  If line touches the circle at one point only that is called a tangent  If line connect the two point at the circle that is called a chord  If line intersect the circle at two point that is called secant

23 Formation of tangent Circle A B Secant C D Chord P Tangent

24 APB is called a tangent to the circle The touching point P is called the point of contact. C A B P

25 A B C D E F G H P Q We construct four tangents AB,CD, EF & GH When two circles do not touch

26 A B C D O O’O’.. We can construct three tangents APB, CQD, PRQ When two circles touches externally P Q 1 st Tangent 2 nd Tangent 3 rd Tangent R

27 When two circles intersect each other AB C D 1 st Tangent 2 nd Tangent O O !.. We can construct two tangents AB, CD

28 A B OO’ When two circles touches internally We can construct only one tangents APB P

29 When two concurrent circles O O’ We can not construct any common tangent

30 P P is a point out side the circle you can construct two tangents passing through P O Q R Tangent PQ = TangentPR

31 A B C o Constructing Circumcircle Steps of Construction Construct a Δ ABC Bisect the side AB Bisect the side BC The two lines meet at O From O Join B Taking OB as radius draw a circumcircle.

32 A B C Constructing of incircle Steps of construction Construct a Δ ABC The two lines meet at O Taking OP as radius Draw a circumcircle Bisect the ABC Bisect the BAC Taking O draw OP AB O P


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