Angles in Circle Notes Unit 5 Day 2

Lines on a Circles Chord – a line segment connecting TWO points on a circle (ex: diameter) Tangent - a line that touches a curve (ex: circle) Secant – a line that passes through a circle

Inscribed Angle Inscribed Angle – angle with its vertex on the circle formed by two intersecting chords 𝑚∡ 𝑖𝑛𝑠𝑐𝑟𝑖𝑏𝑒𝑑 𝑎𝑛𝑔𝑙𝑒= 1 2 𝑚 𝑖𝑛𝑡𝑒𝑟𝑐𝑒𝑝𝑡𝑒𝑑 𝑎𝑟𝑐

Minor and Major Arc Minor Arc – less than 180o Major Arc – greater than 180o

Minor and Major Arc

Circumscribed Angles Circumscribed Angle – angle formed by two intersecting tangent lines. 𝑚∡ 𝑐𝑖𝑟𝑐𝑢𝑚𝑠𝑐𝑟𝑖𝑏𝑒𝑑 𝑎𝑛𝑔𝑙𝑒= 1 2 (𝑚 𝑚𝑎𝑗𝑜𝑟 𝑎𝑟𝑐 −𝑚 𝑚𝑖𝑛𝑜𝑟 𝑎𝑟𝑐)

Central Angle Central Angle – Angle with its vertex at the center of the circle form by two intersecting radii. 𝑚∡ 𝑐𝑒𝑛𝑡𝑟𝑎𝑙 𝑎𝑛𝑔𝑙𝑒= 𝑚 𝑖𝑛𝑡𝑒𝑟𝑐𝑒𝑝𝑡𝑒𝑑 𝑎𝑟𝑐