10-1Circles and Circumference You identified and used parts of parallelograms. Identify and use parts of a circle. Solve problems involving the circumference.

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Presentation transcript:

10-1Circles and Circumference You identified and used parts of parallelograms. Identify and use parts of a circle. Solve problems involving the circumference of a circle.

Definition A circle is the locus of points in a plane equidistant from a given point. That point is the center of the circle. center

Circle Parts A circle is named by its center. A radius is a segment from the center to any point on the circle. A diameter is a segment that contains the center of the circle and has endpoints on the circle. סּQסּQ סּQ radius diameter

Definition A chord is a line segment that joins two points on a circle. AB is a chord of סּD Where would you find the largest chord in any circle? A B D

p. 697

A. Name the circle and identify a radius.

B. Identify a chord and a diameter of the circle.

A. Name the circle and identify a radius. A. B. C. D.

B. Which segment is not a chord? A. B. C. D.

By definition, the distance from the center of a circle to any point on the circle is always the same. All radii of a circle are congruent. A diameter (d) is made is made up of two radii. 1 raduis p. 698

Answer: QV = 10.5 cm d= 2rDiameter Formula 21= 2rd = = rSimplify. If RT = 21 cm, what is the length of QV? RT is a diameter and QV is a radius.

A.12 cm B.13 cm C.16 cm D.26 cm If QS = 26 cm, what is the length of RV?

Exterior, Interior, Concentric interior exterior Concentric circles are two coplanar circles with the same center.

p. 698

5

A.3 in. B.5 in. C.7 in. D.9 in.

10-1 Assignment Day 1 p. 701, 10-21