What Is There To Know About A Circle? Jaime Lewis Chrystal Sanchez Andrew Alas Presentation Theme By PresenterMedia.comPresenterMedia.com

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.

-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.

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

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

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= 2πr × 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.

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

An inscribed quadrilateral is any four-sided figure whose vertices all lie on a circle. Inscribed Quadrilateral in a Circle

- Area of Sectors of a Circle: A=n/360πr 2 or A=C S /πr 2. - A=n/360πr 2 where n is the number of degrees in the central angle of the sector. - A=C S /πr 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

-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

THAT’S IT FOLKS!