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Circles – Segments and Circumference Circle – The set of all points in a plane a given distance from a given point (the center). Circles are named by their center point. Concentric circles – Circles in the same plane with the same center. A B C Circles – Segments and Circumference Radius – Any segment with endpoints that are the center of a circle and a point on the circle. Chord – A segment with two endpoints on the circle. Diameter – A chord that passes through the center. F D diameter chord A radius E C B Circles – Segments and Circumference Pi ( ) – An irrational number that is defined as the ratio of the circumference to the diameter of a circle. (C/d = ) Circumference – The distance around a circle. Represented by either: C = • d or C = 2 • • r a. Name the circle. Answer: b. Name a radius of the circle. Answer: c. Name a chord of the circle. Answer: d. Name a diameter of the circle. Answer: Circle M has diameters a. If BG = 25, find MG. Answer: 12.5 b. If DM = 29, find DN. Answer: 58 c. If MF = 8.5, find MG. Answer: 8.5 The diameters of , and are 5 inches, 9 inches, and 18 inches respectively. a. Find AC. Answer: 6.5 in. b. Find EB. Answer: 13.5 in. a. Find C if r = 22 centimeters. Answer: b. Find C if d = 3 feet. Answer: c. Find d and r to the nearest hundredth if C = 16.8 meters. Answer: Find the exact circumference of A Answer: C B C . D