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# Section 9 1 notes

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Section 9.1 - All vocabulary relating to circles.

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### Section 9 1 notes

1. 1. Circle – the set of all points in a plane agiven distance away from a center point. A circle is named by its center point. For A example: Circle A or A. Radius (r) Plural: RadiiRadius – the “given distance away fromthe center point” of a circle; a segment that joins the center to a point on the circle.
2. 2. Sphere – the set of all points a given distance away from a center point.
3. 3. Chord – a segment whose endpoints lie on on the circle. Example: DC A B C D Diameter – a chord that passes through the center of the circle. Example: ABA diameter is twice the length of a radius.
4. 4. Secant – a line that contains a chord. B Example: AB A **Note: A chord and a secant can be namedusing the same letters. The notation tells youwhether it is a secant or a chord. A secant is a line; a chord is a segment.** Secant: AB Chord: AB
5. 5. Tangent – a line that intersects a circle at exactly one point. Not a B tangent! A The point at which the circle and the tangent intersect is called the point of tangency.Example: AB Example: A
6. 6. 5cm Congruent Circles – circles with5cm congruent radii. ConcentricCircles – circles with the same center point.
7. 7. A polygon is inscribed in a circleand the circle is circumscribedabout the polygon when all ofthe vertices of the polygon lieon the circle. This pentagon is inscribed inside of the circle.
8. 8. When each side of a polygon istangent to a circle, the circle issaid to be inscribed in thepolygon. This circle is inscribed inside of the pentagon.