4.3b: Chords
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Transcript 4.3b: Chords
4.1b: Chords
CCSS
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.
GSE
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ts/math/geometry/GP14/CircleCho
A chord is a segment that joins two points of the circle.
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ts/math/geometry/GP14/CircleCho
http://www.regentsprep.org/Regen
ts/math/geometry/GP14/CircleCho
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ts/math/geometry/GP14/CircleCho
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ts/math/geometry/GP14/CircleCho
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ts/math/geometry/GP14/CircleCho
How could we prove this is true?
Is there any way to draw 2 parallel lines within a circle and this not be true?
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ts/math/geometry/GP14/CircleCho
Ex1. Find the length of a chord that is 8 inches from the center of
a 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.
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ts/math/geometry/GP14/CircleCho
http://www.regentsprep.org/Regen
ts/math/geometry/GP14/CircleCho
http://www.regentsprep.org/Regen
ts/math/geometry/GP14/CircleCho
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Done
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ts/math/geometry/GP14/CircleCho