Unit 8 Circles

Section 9-1 Introduction to Circles; Circles Vocabulary

A circle is named by its center point. For example: Circle A or A. Circle – the set of all points in a plane a given distance away from a center point. A circle is named by its center point. For example: Circle A or A. A Radius (r) Plural: Radii Radius – the “given distance away from the center point” of a circle; a segment that joins the center to a point on the circle.

Sphere – the set of all points a given distance away from a center point.

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: AB A diameter is twice the length of a radius.

Secant – a line that contains a chord. Example: AB B A **Note: A chord and a secant can be named using the same letters. The notation tells you whether it is a secant or a chord. A secant is a line; a chord is a segment.** Secant: AB Chord: AB

Tangent – a line that intersects a circle at exactly one point. Not a tangent! B The point at which the circle and the tangent intersect is called the point of tangency. Example: A A Example: AB

Congruent Circles – circles with congruent radii. 5cm Concentric Circles – circles with the same center point.

This pentagon is inscribed inside of the circle. A polygon is inscribed in a circle and the circle is circumscribed about the polygon when all of the vertices of the polygon lie on the circle. This pentagon is inscribed inside of the circle.

This circle is inscribed inside of the pentagon. When each side of a polygon is tangent to a circle, the circle is said to be inscribed in the polygon. This circle is inscribed inside of the pentagon.