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Unit 6 Vocabulary

Name: ___________________________________
Date: _________________ Period: _____________
Due Date: FRIDAY, MARCH 8 before SPRING BREAK
Across
(P. 696) If two secants intersect in the exterior of a circle, then the _______ of the lengths of one secant segment and its external segment equals the _______ of the lengths of the other secant segment and its external segment.
(P. 666) A(n) ______ arc is an arc whose points are on or in the exterior of a corresponding central angle.
(P. 668) A(n) _____________ arc consists of endpoints that lie on the sides of an inscribed angle and all the points of the circle between them.
(P. 666) A(n) ______ arc is an arc whose points are on or in the interior of a corresponding central angle.
(P. 696) A secant segment that lies in the exterior of the circle with one point on the circle is called a(n) ________ secant segment.
(P. 687) A circumscribed angle of a circle and its associated central angle are ______________.
(P. 752) The ________ of a circle with center (h, k) and radius r is (x - h)² + (y - k)² = r².
(P. 751) We can define a(n) ______ as the set of all points in the coordinate plane that are a fixed distance r from the center (h, k).
(P. 743) A(n) _______ of a circle is a region bounded by two radii and their intercepted arc.
(P. 744) The ______ A of a sector with central angle of m° of a circle with radius r is given by A = (m/360)*πr².
(P. 694) If two chords intersect inside a circle, then the products of the lengths of the segments of the chords are _____.
(P. 686) If a line is tangent to a circle, then it is ______________ to a radius drawn to the point of tangency.
(P. 696) A(n) _______ is any line that intersects a circle at exactly two points.
(P. 685) A(n) _______ is a line in the same plane as a circle that intersects the circle in exactly one point.
(Glossary) The ratio of the circumference of a circle to its diameter, denoted by the Greek letter π (__). The value of π is irrational, often approximated by 3.14 or 22/7.
(P. 708) If a tangent and a secant (or a chord) intersect on a circle at the point of tangency, then the ________ of the angle formed is half the measure of its intercepted arc.
(P. 709) If a tangent and a secant, two tangents, or two secants intersect in the exterior of a circle, then the measure of the angle formed is half the ____________ of the measures of its intercepted arcs.
(P. 738) The constant of proportionality for the proportional relationship is (m/360)*2π. This constant of proportionality is defined to be the _______ measure of the angle.
(N #6-1) A(n) _________ is a chord that contains the center of a circle.
Down
(P. 665) A(n) ________ angle is an angle less than 180° whose vertex lies at the center of a circle.
(P. 666) A(n) ____ is a continuous portion of a circle consisting of two points (called the endpoints of the ____) and all the points on the circle between them.
(P. 665) A(n) _____ is a segment whose endpoints lie on a circle.
(P. 687) A(n) ______________ angle is an angle formed by two rays from a common endpoint that are tangent to a circle.
(P. 727) Use the formula C = 2πr to find the ______________.
(P. 685) The point where a tangent and a circle intersect is the point of _________.
(P. 710) If the vertex is ________ a circle, the the measure of the angle is half the sum of the measures of its intercepted arcs.
(P. 710) If the vertex is ___ a circle, the the measure of the angle is half the measure of its intercepted arc.
(P. 735) The arc ______ measure of the entire circle is 360°.
(P. 8) The ____________ Theorem states that a² + b² = c², where a and b are the lengths of the legs of a right triangle and c is the length of the hypotenuse.
(P. 698) If a secant and a tangent intersect in the exterior of a circle, then the product of the lengths of the secant segment and its external segment equals the length of the tangent segment ________.
(P. 698) A tangent segment is a segment of a tangent line with exactly one ________ on the circle.
(P. 666) A(n) ___________ is an arc whose endpoints are the endpoints of a diameter.
(P. 736) The arc _______, s, of an arc with measure m° and radius r is given by the formula s = (m/360)*2πr.
(P. 666) ___________ arcs are arcs of the same circle that intersect in exactly one point.
(P. 710) If the vertex is _________ a circle, the the measure of the angle is half the difference of the measure of its intercepted arcs.
(P. 696) A secant _______ is part of a secant line with at least one point on the circle.
(P. 665) A(n) _________ angle is an angle whose vertex lies on a circle and whose sides contain chords of the circle
(P. 706) If two secants or chords intersect in the interior of a circle, then the measure of each angle formed is _____ the sum of the measures of its intercepted arcs.
(N #6-1) A(n) _______ is a segment from a point on a circle or sphere to the center.