9-1 Tangents, Arcs, and Chords

9-1 Tangents, Arcs, and Chords Circle - is the set of all points in a plane that are equidistant from a given point . Center – point in the middle.

Circle - is the set of all points in a plane that are equidistant from a given point .

Center – point in

the middle.

9-1 Tangents, Arcs, and Chords A circle with center P is called “circle P” P

A circle with center P is called “circle P”

9-1 Tangents, Arcs, and Chords Radius – the distance from the center to a point on the circle P radius

Radius – the distance from the center to a point on the circle

9-1 Tangents, Arcs, and Chords Radius – the distance from the center to a point on the circle Diameter – the distance across the circle going through the center P radius diameter

Radius – the distance from the center to a point on the circle

Diameter – the distance across the circle going through

the center

9-1 Tangents, Arcs, and Chords Radii – Plural of radius. All radii of a circle are congruent. Chord – A segment whose endpoints are points on the circle. P radii chord

Radii – Plural of radius. All radii of a circle are congruent.

Chord – A segment whose endpoints are points on the circle.

9-1 Tangents, Arcs, and Chords Secant – A line that intersects a circle in two points. Tangent – A line that intersects the circle in exactly one point. P secant tangent

Secant – A line that intersects a circle in two points.

Tangent – A line that intersects the circle in exactly

one point.

9-1 Tangents, Arcs, and Chords Given Circle C What is: C A K E D F G H J B

Given Circle C

What is:

9-1 Tangents, Arcs, and Chords Given Circle C What is: ___ AD C A K E D F G H J B diameter or chord

Given Circle C

What is:

___

AD

9-1 Tangents, Arcs, and Chords Given Circle C What is: ___ CD C A K E D F G H J B radius

Given Circle C

What is:

___

CD

9-1 Tangents, Arcs, and Chords Given Circle C What is: EG C A K E D F G H J B tangent

Given Circle C

What is:

EG

9-1 Tangents, Arcs, and Chords Given Circle C What is: ___ HB C A K E D F G H J B chord

Given Circle C

What is:

___

HB

9-1 Tangents, Arcs, and Chords Given Circle C What is: KG C A K E D F G H J B secant

Given Circle C

What is:

KG

9-1 Tangents, Arcs, and Chords Cocentric Circles – Circles that share the same center.

Cocentric Circles – Circles that share the same center.

9-1 Tangents, Arcs, and Chords Circumscribed Polygon – A polygon that is surrounded by a circle.

Circumscribed Polygon – A polygon that is surrounded by a circle.

9-1 Tangents, Arcs, and Chords Inscribed Circle – A circle surrounded by a polygon.

Inscribed Circle – A circle surrounded by a polygon.

9-1 Tangents, Arcs, and Chords Point of Tangency – Point at witch the tangent line hits the circle. point of tangency

Point of Tangency – Point at witch the tangent line hits the circle.

All terms apply to spheres as well.

All terms apply to spheres as well.

9-1 Tangents, Arcs, and Chords SPICSA 330 2,3,4,6,7,8,9,10,11,12,14