University:
Felician University
Course:
MATH-231 | Geometry I
Academic year:

2023
Views:

173

Pages:

8
Author:

SpaceCadet101

Circles and Arcs, Area of Circles, Sectors and Segn1ents CIRCLE о Circle: А circle is the set of all points that are equidistant from а center point. Circles are na1ned Ьу their center point о Radius: А segmeдt that connects the center of а cil'cle with а point on the edge of the circle • The radius is always the same length within а ci1·cle о Diameter: А segment that connects one edge of а circle with the other edge \ • Must pass through the center of the ci1·cle.---• Diameter = 2 х Radius о CENTRAL ANGLE & CIRCLE SIZE о Central Angle: An angle formed Ьу 2 rad ii of а c1rc1e • 1 А • о м о Circle Measure: 360 ° A.Rcs о An arc is а piece of the edge of а circle • Have а starting апd епd point located оп the circle • Often associated with а central angle о Arc Measure: The measure of an arc will Ье in degrees (like an angle) • The measure of ап arc will Ье the same measure as its associated ceпtral angle �UL- А"'-)u�б 0 L DG е.. D t&, ' \Т6 ;� \!' ь_Q. -==- с. = с.с, о () ] о 8 flx,PJ) CLASSIFYING & NAМING ARcs ° о Minor Arc: Less than 180 ---:) ° о Major Arc: Greater than 180 ) (1"' ) ° /о Semicircle: Exactly 180 U..:5� 2 -v\"S и::,.;;. � PI.S ays use the start and end Alw s: Arc g min N о '-; ' � � nt po1 � point (2 • Minor Arc-Just use the start point and end points with arc symbol over top) arc • Major Arc/Semicircle-U se 3 points with the symbol over top о ction) - End Start Point - Middle Point (Tells us the dire Point • EXAМPLE-CLASSIFYING AND NAМING ARCS e minor arcs, major о Classify and Name all of th below. arcs, and semicircles in the circle � r. r' ��, д.€:., A.D Е ��-..,;:::,/,--------1 А В fЪС- {;о � r' с.о, с..Е:. , .,,,,- рб r' � ��{) / р._,_�� ,,,......... r' Р.:> с.. .д... ' ,,,,--.. с. D � , ,,,,---.. D��,Ift-G, ,...-, GД.._с_ I ,,,......... ��.D ��:.�т µAve. 7_ '\О 9'Е..""'С'"�АТ "-" 1.D)t..G �е,а._11 (