Circle. Is the set of all points equidistant from a given point called the center. The man is the center of the circle created by the shark. Parts of a circle. We name a circle using its center point. ⊙ W is shown W •
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Is the set of all points equidistant from a given point called the center.
The man is the center of the circle created by the shark.
We name a circle using its center point.
⊙ W is shown
So, the Center is defined as the point inside the circle equidistant from all points on the circle.
Diameter: Any line segment (chord) that contains the circle’s center. BE (ALL diameters of a given circle are )Radius: Any line segment with 1 endpoint at the center of the circle, and the other endpoint ON the circle. XF (The Radius is = ½ diameter. All radii of a given circle are ) XF XE XB
Chord: Any line circle’s center. BE segment with endpoints that lie on the circle.CD Secant: Any line that intersects the circle in exactly 2 points (cuts through).CDTangent: Line, segment or ray that intersects the circle in exactly 1 point (touches)YA or YAAlways perpendicular to radius with endpoint at point of tangency. XA YA
Arcs – minor arc circle’s center. BE (less than ½ the circle) AB MB YXA major arc (at least half the circle) BMY BAM XYBSector - area formed by two radii and the arc formed by them (green area) – like a slice of pizza.
ANGLES in a circle circle’s center. BE Central angle: center of circle as vertex and radii as sides. ACBInscribed angle: vertex point on the circle and chords as sides. AMBExterior angle: vertex outside the circle, either secants or tangents as sides. E or AEBInterior angle: vertex is intersection of two chords inside the circle (not the center). AWB
m ACB = m AB m AEB = ½(m AB – m XY)
m AMB = ½ m AB m AWB = ½ (m AB + m MY)
E Y W
PR = PS PR • PQ = PT • PS
FG = FJ FG • FH = FJ • FJ
F G H
BE = AE BE • ED = AE • BC