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# 2.24.10 Intro To Circles

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### 2.24.10 Intro To Circles

1. 1. Intro to Circles<br />Advanced Geometry<br />February 24, 2010<br />
2. 2. Things we already know…<br />Circles<br />The set of all points in a plane that are a given distance (radius) from a given point (center)in the plane<br />Radius<br />Segment that joins the center to a point on the circle<br />All radii of a circle are congruent<br />Area of a circle<br />Circumference of a circle<br />
3. 3. Are the circles the same? <br />All circles have the same shape. <br />Their sizes are determined by the radius. <br />If two circles have congruent radii, then the two circles are congruent. <br />If two circles have the same center, then the circles are concentric circles. <br />
4. 4. Where is the point? <br />A point is in the interior of a circle if its distance from the center is less than the radius. <br />d < r<br />A point is in the exterior of a circle if its distance from the center is greater than the radius. <br />d > r<br />A point is on a circle if its distance <br /> from the center is equal to the radius. <br />d = r<br />
5. 5. Chords<br />A chord of a circle is a segment joining any two points on a circle. <br />What is the longest chord of a circle? <br />A diameterof a circle is a chord that passes through the center of the circle. <br />
6. 6. Radius – Chord Relationships<br />The distance from the center of a circle to a chord is the measure of the perpendicular segment from the center to the chord. <br />If a radius is perpendicular to a chord, then it bisects the chord. <br />
7. 7. More Relationships<br />If a radius of a circle bisects a chord that is not a diameter, then it is perpendicular to that chord. <br />The perpendicular bisector of a chord passes through the center of the circle. <br />
8. 8. Practice<br />Page 443<br /> # 5, 6, 12<br />
9. 9. HOMEWORK<br />Page 443<br /> # 8, 14, 23, 24<br />
10. 10. Exit Slip<br />Find the distance from the center of a circle to a chord 30 m long if the diameter of the circle is 34 m. <br />