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Circles Honors Math – Grade 4
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Circle A circle is a plane figure. All the points on a circle are the same distance from a given point, called the center. Point A is the center of the circle A A circle is named by its center point. Circle A
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The Parts of Circle B E C B D F G All the line segments in Circle B have special names. Can you name any points on the circle? E, C, D, F, G
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Radius A radius is a line segment with endpoints at the center of the circle and on the circle. is a radius. Can you name any other radii (plural of radius)? E C B D F G
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Diameter A diameter is a line segment that passes through the center of the circle and has both endpoints on the circle. is a diameter. E C B D F G The length of the diameter is always equal to twice the length of the radius. If BE measures 6 cm, how long is CD? 12 cm
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Chord A chord is a line segment with both endpoints on the circle. is a chord. Are there any other chords in Circle B? Line segment CD E C B D F G A diameter is a special chord.
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Simple Closed Curve A simple closed curve is a path that begins and ends at the same point and does not cross itself. Not simple closed curves Simple Closed Curves
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Practice 1.Name the circle and its center. 2.How many diameters are shown? Name the diameters. 3.Is TR a radius? Explain why or why not? 4.Is VX a radius? Explain why or why not? 5.How many radii are shown? Name the radii. R S V X Q W T P
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Practice Answers 1.____________________________________________ 2.____________________________________________ 3.____________________________________________ 4.____________________________________________ 5.____________________________________________
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Practice Answers 1.Circle V. The center is point V. 2.There are 3 diameters. PQ, RS, TW 3.TS is not a radius because it does not have an endpoint at the center of the circle and it is a chord. 4.VX is a radius because its endpoints are the center point V and point X on the circle. 5.There are 7 radii. VP, VS, VW, VQ, VX, VR, VT
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