Circle is a closed plane figure in which all the points are the same distance from the center. A Center F Circle F A Chord is a line segment that connects two points on a circle. B A C Y D Chords: AB AC AD The Diameter of a circle is a special chord that passes through the center of a circle. B A C E D Diameter: AC The Radius of a circle is a line segment from the center of the circle to any other point on the circle. B Y C A D Radii: YA (plural YC form of radius) YD The length of the radius is one half the length of the diameter. d=2xr or d (diameter) r (radius) r=d÷2 If r = 2 cm, then d = 4 cm. If d = 5 in, then r = 2.5 in. You can use a compass to construct a circle. compass Step 1: Open the compass to the length of the radius. Step 2: Put the tip of the compass at a point to be the center. Step 3: Rotate the pencil around the center. P The Circumference is the distance around a circle. C (circumference) The Circumference of a circle is greater than its diameter. It is always the same number of times as great. This number is called pi and is represented by the symbol π. ( π 3.14) You can find the circumference by multiplying π times the diameter. (C=πxd) d = 8 cm E 8 cm F G C=πxd = 3.14 x 8 = 25.12 cm The circumference is 25.12 cm. r = 3 in 3 in Remember: d=2xr S T C=πxd C=2xπxr = 2 x 3.14 x 3 = 18.84 in The circumference is 18.84 in. C = 62 m Find the diameter (d) to the nearest hundredth. C=πxd 62 = 3.14 x d 62 ÷ 3.14 = d d = 19.75 The diameter is 19.75 m. C = 52 in Find the radius (r) to the nearest hundredth. C=πxd C=2xπxr 52 = 2 x 3.14 x r 52 = 6.28 x r r = 52 ÷ 6.28 The radius (r) is 8.28 in.