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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 http://www.regentsprep.org/Regen ts/math/geometry/GP14/CircleCho A chord is a segment that joins two points of the circle. http://www.regentsprep.org/Regen 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 http://www.regentsprep.org/Regen ts/math/geometry/GP14/CircleCho http://www.regentsprep.org/Regen ts/math/geometry/GP14/CircleCho 1 2 3 http://www.regentsprep.org/Regen 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? http://www.regentsprep.org/Regen 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. http://www.regentsprep.org/Regen 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 http://www.regentsprep.org/Regen 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 http://www.regentsprep.org/Regen ts/math/geometry/GP14/CircleCho Done http://www.regentsprep.org/Regen ts/math/geometry/GP14/CircleCho