Http:// ts/math/geometry/GP14/CircleCho rds.htm 4.1b: Chords CCSS GSE

http://www.regentsprep.org/Regents/math/geometry/GP14/

CircleChords.htm

4.1b: Chords

G-C.2 Identify and describe relationships among inscribed angles, radii, and chords. Include the relationship between central, inscribed, and circumscribed angles; inscribed angles on a diameter are right angles; the radius of a circle is perpendicular to the tangent where the radius intersects the circle.

CCSS

GSE

http://www.regentsprep.org/Regents/math/geometry/GP14/

CircleChords.htm

A chord is a segment that joins two points of the circle.

http://www.regentsprep.org/Regents/math/geometry/GP14/

CircleChords.htm

http://www.regentsprep.org/Regents/math/geometry/GP14/

CircleChords.htm

http://www.regentsprep.org/Regents/math/geometry/GP14/

CircleChords.htm

http://www.regentsprep.org/Regents/math/geometry/GP14/

CircleChords.htm

http://www.regentsprep.org/Regents/math/geometry/GP14/

CircleChords.htm

12

3

http://www.regentsprep.org/Regents/math/geometry/GP14/

CircleChords.htm

How could we prove this is true?

Is there any way to draw 2 parallel lines within a circle and this not be true?

http://www.regentsprep.org/Regents/math/geometry/GP14/

CircleChords.htm

Ex1. Find the length of a chord that is 8 inches from the center ofa circle with a radius of 12 inches.

Ex2. A chord is 15 inches long in a circle with a diameter of 20 inches. Find the distance from the center of the circle to the chord.

http://www.regentsprep.org/Regents/math/geometry/GP14/

CircleChords.htm

http://www.regentsprep.org/Regents/math/geometry/GP14/

CircleChords.htm

http://www.regentsprep.org/Regents/math/geometry/GP14/

CircleChords.htm

http://www.regentsprep.org/Regents/math/geometry/GP14/

CircleChords.htm

http://www.regentsprep.org/Regents/math/geometry/GP14/

CircleChords.htm

http://www.regentsprep.org/Regents/math/geometry/GP14/

CircleChords.htm

http://www.regentsprep.org/Regents/math/geometry/GP14/

CircleChords.htm

Done