# CHAPTER 11.4 CIRCUMFERENCE and ARC LENGHT

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Chapter 11.4 cIRCUMFERENCE AND aRC lENGTH Quique Degenhart, Gisele Roesch, Isabel Mendez, Vanessa jO, sTEFAN sCHUTT

CHAPTER 11.4CIRCUMFERENCE and ARC LENGHTStephan Schutt, Vanessa Jo, Quique DegenhartIsabel Mendez and Guiselle RoeschCircucumferenceThe circumference of a circle is the distance around the outer part or a circle. It can also be called the area of a circle.

The ratio (= 3.14) of the circumference to the Diameter is the same for all the circles.

2ExamplesThe Circumference of a circle is D or 2R.C=dC=3.14 X DC=3.14X10C=31.4 cm.C=2rC=2(3.14 X 5)C=31.4 cm.

5 cm

10 in. C= 2rC= 2(3.14 x 10)C= 62.8 in.

4 cm.C=2rC=2(3.14 x 4)C= 25.12 cm.Arc lengthIt is a side/part of the circumference of a circle. The measure of the arc may be used (in degrees) to find its length. ArcArc Length CorollaryIs the ratio of the arc length to the whole measurement of the circle, which is 360

Arc length m AB 2r 360 or you can also use: m AB Arc length of AB = 360 AB360How to do the Arc Length CorollaryPABX750 Arc length m AB 2r 360 =X 5027 360 = X 5043.96 360 =43.96 x 50= m 360

X6.1 Examples

7 cm500Arc length of LM = 50/360 x 2(7)= 6.10LM

5 cm.52oArc length of AB= 52/360 x 2(5)= 4.53

6cm45Arc length of IJ= 45/360 x 2(6)= 4.71PracticeIndividualy solve the problems as soon as you have the answer and come up to the board if you have it right you will win a candy.

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