What Is There To Know About A Circle? Jaime Lewis Chrystal
Sanchez Andrew Alas Presentation Theme By
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Slide 2
Chord Product theorem If two chords intersect in the interior
of a circle, then the products of the lengths of the segmants of
the chords are equal. A Line Segment Where Both Endpoints On The
Circle. Chords The red lines represent chords in a circle.
Slide 3
-If two secants intersect in the exterior of a circle, then the
product of the lengths of one secant segment and its external
segment equals the product if the lengths of other secant segment
and its external segment. -If a secant and a tanget intersect in
the exterior of a circle, then the product of the lengths of the
lengths of the secant segment and its external segment equals the
length of the tanget segment squared. (WHOLE x OUTSIDE = tanget
squared) AE x BE = CE x DE -If two secants or chords intersect in
the interior of a circle, then the product of the segments of one
chord equals the product of the segments of the other chord. If a
tangent and a secant, two tangents, or two secants intersect in the
exterior of a circle, then, there are two useful theorems/formula
that allow relate the side lengths of the two given segments A Line
That Intersects Two Points Of A Curve. Secant The red line
represents the Secant of a circle.
Slide 4
Point of Tangency: The point where a line intersects a circle.
A Tangent Touches A Circle At One Point And Forms A Right Angle
With The Radius. Tangent The red line represents a tangent of a
circle. Point of Tangency
Slide 5
Inscribed Angle- An inscribed angle is an angle formed by two
chords in a circle, which have a common endpoint. An Angle Whose
Vertex Is The Center Of The Circle. Central Angle Inscribed Angle
Theorem
Slide 6
Minor Arc: Shortest/Smallest Arc. Major Arc: Longest/Biggest
Arc. Arc Addition Postulate: The measure of an Arc formed by two
adjacent Arcs is the sum of the measures of the two Arcs. Arc
Length= 2r X / 360 Intercepted Arc- That part of a circle that lies
between two lines that intersect it. A Segment Of The Circumference
Of A Circle. Arc Arc of a circle. The red Arc represents the Minor
and the white Arc the Major Arc.
Slide 7
An angle subtends a semi-circle when it is a right angle. An
angle between two lines inside the circle if we extend those lines
till they meet the circle then take a chord joining them to form a
triangle. Subtends
Slide 8
An inscribed quadrilateral is any four-sided figure whose
vertices all lie on a circle. Inscribed Quadrilateral in a
Circle
Slide 9
- Area of Sectors of a Circle: A=n/360r 2 or A=C S /r 2. -
A=n/360r 2 where n is the number of degrees in the central angle of
the sector. - A=C S /r 2 where C S is the Arc Length of the sector.
Portion Of A Circle Enclosed By Two Radii And An Arc.
Sectors/Sections Both portions of the circle are sectors. Area of a
Sector of A Circle Formula
Slide 10
-If a Radius is perpendicular to a Chord, then it BISECTS the
Chord. -In a Circle, the perpendicular bisector of a Chord is
diameter/radius. Miscellaneous Theorems Theorems