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	Inscribed angle - Wikipedia, the free encyclopedia
		In geometry, an inscribed angle is formed when two secant lines of a circle (or, in a degenerate case, when one secant line and one tangent line of that circle) intersect on the circle.
		The intercepted arc is the portion of the circle that is in the interior of the angle.
		The measure of the intercepted arc (equal to its central angle) is exactly twice the measure of the inscribed angle.
	en.wikipedia.org /wiki/Inscribed_angle (713 words)

	Angle
		Angles provide a means of expressing the difference in gradient between two rays meeting at a vertex without the need to explicitly define the gradients of the two rays.
		Mathematicians generally prefer angle measurements in radians because this removes the arbitrariness of the number 360 in the degree system and because the trigonometric functions can be developed into particularly simple Taylor series if their arguments are specified in radians.
		This angle is equal to π/2 minus the angle between the intersecting line and the line that goes through the point of intersection and is perpendicular to the plane.
	www.brainyencyclopedia.com /encyclopedia/a/an/angle.html (819 words)

	Chapter 10 Notes (Site not responding. Last check: 2007-10-21)
		Theorem 10.9 - the measure of an inscribed angle is equal to one-half the measure of its intercepted arc.
		Theorem 10.13 - The measure of a tangent-chord angle is one-half the measure of its intercepted arc.
		Theorem 10.15 - The measure of an angle formed by two secants, two tangents, or a secant and a tangent (drawn from a point on the exterior of a circle) is equal to the difference of the measures of the intercepted arcs.
	members.aol.com /frustum1/Chpt10.html (1064 words)

	Right angle Article, Rightangle Information (Site not responding. Last check: 2007-10-21)
		The degree measure of the angle is the lengthof the arc, divided by the circumference of the circle, and multiplied by 360.
		The angle of two intersecting curves is defined to be the angle between the tangents at the point of intersection.
		This angle is equal to π /2 radiansminus the angle between the intersecting line and the line that goes through the point of intersection and is perpendicular to the plane.
	www.anoca.org /angles/two/right_angle.html (788 words)

	Inscribed angle -- Facts, Info, and Encyclopedia article (Site not responding. Last check: 2007-10-21)
		Typically it is easiest to think of an inscribed angle as being defined created by two (A combination of three or more notes that blend harmoniously when sounded together) chords of the circle sharing an (A place where something ends or is complete) endpoint.
		An inscribed angle is said to intercept an (A continuous portion of a circle) arc on the circle.
		The intercepted arc is the portion of the circle that is in the (The region that is inside of something) interior of the angle.
	www.absoluteastronomy.com /encyclopedia/i/in/inscribed_angle.htm (756 words)

	Geometry Summary - Part 2
		An inscribed angle is measured by one-half of its intercepted arc.
		An angle formed by a tangent and a chord is measured by one-half of its intercepted arc.
		An angle formed by a tangent and a secant intersecting outside a circle is measured by one-half the difference of the intercepted arcs.
	www.tamut.edu /~dkern/MathFoundations/Handouts/GeoSum2.htm (955 words)

	PinkMonkey.com Geometry Study Guide - 7.4 Inscribed angles
		As shown in figure 8.5 the vertex o of the inscribed angle AOB is on the circle.
		BAC is the inscribed angle and arc BXC is the intercepted arc.
		The center is in the interior of the angle.
	www.pinkmonkey.com /studyguides/subjects/geometry/chap7/g0707401.asp (272 words)

	InterMath / Dictionary / Description
		The measure of an inscribed angle is one half the measure of the arc that it sees.
		This angle is not inscribed because although the angle's vertex lies on a circle, one of its sides does not contain a chord of the circle.
		This angle is not inscribed because the angle's vertex does not lies on a circle.
	www.intermath-uga.gatech.edu /dictnary/descript.asp?termID=175 (84 words)

	Circle Conjectures (Site not responding. Last check: 2007-10-21)
		The measure of an inscribed angle in a circle is _____________________________ _______________________.
		Inscribed angles that intercept the same arc are _________________.
		The _________________ angles of a quadrilateral inscribed in a circle are ___________________.
	mathrocks.thebernas.net /IntMath3/Circles/Pages/Conjecture.htm (200 words)

	Armlstudy (Site not responding. Last check: 2007-10-21)
		The measure of an angle with its vertex at the center of a circle is equal to the measure of the intercepted arc.
		The measure of an inscribed angle (that is an angle with its vertex on the circle) is one-half the intercepted arc.
		The measure of the angle formed by two intersecting chords is equal to one-half the sum of the measures of the intercepted arcs of the angle and its vertical angle.
	www2.ops.org /NORTH/curriculum/math/holley/calculushtml/Armlstudy.html (1734 words)

	Chapter Two (Site not responding. Last check: 2007-10-21)
		An angle is inscribed in a circle if the vertex of the angle is on the circle and the sides of the angle are chords of the circle.
		The measure of an inscribed angle is half the measure of its intercepted arc.
		The measure of an angle formed by a tangent and a chord is half the measure of the intercepted arc.
	pages.cthome.net /jfleary/2gnf4/2gn4c11/2gn4(11.3).htm (125 words)

	Euclidean Geometry Review
		Central Angle – Angle BOC is a central angle subtended by the arc BC (Note: O is the center of the circle)
		Inscribed Angle – Angle BAC is an inscribed angle subtended by the arc BC A central angle is twice as large as an inscribed angle when subtended on the same arc.
		Two inscribed angles subtended on the same arc are equal in measure.
	www.fris.k12.nf.ca /webpages/math/euclidean.htm (253 words)

	[No title]
		The measure of an inscribed angle = ½(the measure of its intercepted arc).
		Inscribed angles that intercept the same arc or congruent arcs are congruent.
		The measure of an angle formed by a tangent and a secant = ½ (the measure of its intercepted arc).
	www.mste.uiuc.edu /courses/ci336su01/telahart/geometryknownfactlistcircles.doc (474 words)

	Angle (Site not responding. Last check: 2007-10-21)
		Microfibril angle variation in red pine (Pinus resinosa Ait.) and its relation to the strength and stiffness of early ju...
		In the plantation, mean ring MF- angle decreased with age from 30 degrees at age 2 to 15 degrees at...
		In the Euclidean plane, the angle θ between two vectorss u and v is related to their dot product and their lengths by the formula
	hallencyclopedia.com /Angle (1488 words)

	Inscribed Angle (Site not responding. Last check: 2007-10-21)
		The Inscribed Angle Property: The measure of an angle inscribed in a circle is half the measure of the arc it intercepts.
		An exterior angle of a triangle is the sum of the other two interior angles, so the measure of AOC is equal to the sum of the measures of OAB and OBA.
		The measure of angle AOC is the difference of the measures of AOD and COD, and the measure so the measure of angle AOC is twice the difference of the measures of ABD and CBD, and that difference is the measure of ABC, so the measure of AOC is twice the measure of ABC.
	mcraeclan.com /MathHelp/GeometryTriangleInscribedAngleCircle.htm (421 words)

	Angles and Lines
		Angles separate their plane into three regions: the angle; the region inside or interior to the angle; and the region outside or exterior to the angle.
		Angles inside circles are either central angles if their vertex is the center of the circle, or inscribed angles if their vertex is on the circle.
		An inscribed angle is half the measure of the central angle intercepting the same arc.
	www.andrews.edu /~calkins/math/webtexts/geom03.htm (2838 words)

	SparkNotes: SAT Math Level 2: Circles
		The degree of the circle (the slice of pie) cut by a central angle is equal to the measure of the angle.
		An inscribed angle is an angle formed by two chords in a circle that originate from a single point.
		Since the degree of an arc is defined by the central or inscribed angle that intercepts the arc’s endpoints, you need only know the measure of either of those angles and the measure of the radius of the circle to calculate the arc length.
	www.sparknotes.com /testprep/books/sat2/math2c/chapter6section4.rhtml (988 words)

	Angles and Circles
		The measure of an inscribed angle is equal to half the measure of the intercepted arc.
		In a circle or in congruent circles, inscribed angles that intercept the same arc or congruent arcs are congruent.
		The measure of an angle formed by a tangent and a chord is equal to half the measure of the intercepted arc.
	teacherlink.org /content/math/interactive/geoweb/lessons/arcangles/home.html (390 words)

	BC Education - Principles of Mathematics 11 - Shape and Space (3-D Objects and 2-D Shapes)
		the measure of the central angle is equal to twice the measure of the inscribed angle subtended by the same arc
		the angle between a tangent and a chord is equal to the inscribed angle on the opposite side of the chord
		the measure of the central angle is equal to twice the measure of the inscribed angle subtended by the same arc (for the case when the center of the circle is in the interior of the inscribed angle)
	www.bced.gov.bc.ca /irp/math1012/pm11ssos.htm (767 words)

	section8
		An angle ABC is called an angle inscribed in a circle O if the vertex B is a point on the circle O and segments AB and AC are chords of O.
		Theorem 8.1 Suppose that O is a circle and an angle ABC is an angle inscribed in O.
		Corollary 2 The degree measure of an inscribed angle ABC such that AC is a diameter of the circle O, is equal to 90 degrees.
	www.math.psu.edu /geom/koltsova/section8.html (435 words)

	BC Education - Mathematics 10 to 12 Appendices
		- the measure of the central angle is equal to twice the measure of the inscribed angle subtended by the same arc
		- the angle between a tangent and a chord is equal to the inscribed angle on the opposite side of the chord
		- the measure of the central angle is equal to twice the measure of the inscribed angle subtended by the same arc (for the case when the centre of the circle is in the interior of the inscribed angle)
	www.bced.gov.bc.ca /irp/math1012/apg_10pm11.htm (720 words)

	Grade 9 Unit 3 Lesson 8 (Site not responding. Last check: 2007-10-21)
		Understand and use the relationship between an inscribed angle and a central angle standing on the same arc.
		In the discussion of these questions, use the terms inscribed angle, central angle, and angle subtended by the arc and write a formal definition of central and inscribed angle on the board.
		_Draw an inscribed angle in a circle and a central angle in the same circle subtended by the same arc and label all points.
	plato.acadiau.ca /courses/educ/reid/up/grade-9/grade-9-unit-3-lesson-8.html (302 words)

	NSW HSC ONLINE - Mathematics (Site not responding. Last check: 2007-10-21)
		An interactive investigation to determine the relationship between an inscribed angle and a central angle (applet).
		A single interactive investigation to visualise the relationship between inscribed angles, an angle in the alternate segment and opposite angles in a cyclic quadrilateral (applet).
		An interactive investigation using the principle of a flashlight to visualise the relationship between two arcs given that the inscribed angles are equal (applet).
	hsc.csu.edu.au /maths/ext1/circle_geometry (118 words)

	Conjectures in Geometry: Inscribed Angles (Site not responding. Last check: 2007-10-21)
		An inscribed angle is an angle formed by two chords in a circle which have a common endpoint.
		Conjecture (Inscribed Angles Conjecture I): In a circle, the measure of an inscribed angle is half the measure of the central angle with the same intercepted arc..
		Proof: The intercepted arc for an angle inscribed in a semi-circle is 180 degrees.
	www.geom.uiuc.edu /~dwiggins/conj44.html (392 words)

	New Page 1 (Site not responding. Last check: 2007-10-21)
		Inscribed angle – an angle whose vertex is on the circle and whose sides each contain chords of the circle or
		Inscribed angle – an angle whose vertex and endpoints are on the circle
		Intercepted arc – the arc corresponding to an inscribed angle
	filebox.vt.edu /t/tbayer/Homepage/Section44.htm (426 words)

	Geometry Session 4, Part C: Circles
		Construct an inscribed angle in one of the semicircles.
		For an angle to be inscribed in a semicircle, the rays must intersect the circle at the endpoints of a diameter.)
		In this video segment, Ric and Michele construct an inscribed angle in a semicircle, then measure the angle as they move it around the circle.
	www.learner.org /channel/courses/learningmath/geometry/session4/part_c (628 words)

	Angles and Triangles in a Circle (Site not responding. Last check: 2007-10-21)
		Identify which type of triangle it is, and label all three of its angles with their measures in degrees.
		Repeat Problem 1 with inscribed triangles such that the circle's center is on a side of the triangle.
		Repeat Problem 1 with inscribed triangles such that the circle's center is outside the triangle.
	www.picciotto.org /math-ed/angles/triangles-circle.html (267 words)

	Central and Inscribed Angles (Site not responding. Last check: 2007-10-21)
		The angle is proportional to the area enclosed by the angle, which is proportional to the circular arc cut by the angle.
		In other words, doubling the angle doubles the size of the piece of pie, and doubles the amount of crust at the edge.
		Once again the inscribed angle is half the central angle.
	www.mathreference.com /geo,ins.html (184 words)

	Geometry Forum - Solutions (Site not responding. Last check: 2007-10-21)
		Therefore, all the inscribed angles that have the screen as an intercepted chord have the measure of 30 degrees.
		Since a triangle has 180 degrees, and the viewing angle must be 30 degrees, the sum of the other 2 angles must equal 150 degrees.
		Therefore, even if two lines are drawn at 30 degree angle and point at exactly one seat, these lines could be moved up or down to another location, and the angles would still be 30 degrees.
	mathforum.org /pow/sol17.html (432 words)

	Inscribed Angles
		Two angles inscribed in a circle, if they subtend the same arc, and are thus associated with the same central angle.
		CBD and the angles are "similarly oriented", then the four points A, B, C and D are concyclic.
		Two angles may or may not have the same orientation.
	www.cut-the-knot.org /Curriculum/Geometry/InscribedAngles.shtml (181 words)

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