Transcription of Formulas for Arc Length - showmethemath.com
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Formulas for Arc LengthIt helps to think of a pizza when working with these types of problems. The arc Length is the Length of the crust on the piece of pizza you get. If you get the whole pizza then the arc Length is the circumference of the pizza. If you get half the pizza then the arc Length is half the circumference of the each of the Formulas let C stand for circumference, rstand for radius, dstand for diameter, and lstand for arc Length . Use the formula C=2 rto calculate the circumference of a circle when the radius is given. Use the formula C= dto calculate the circumference of a circle when the diameter is can use C360 =lmeasureofthecentralangle ormeasureofthecentralangle360 =lCExample 1, finding the arc Length . What is the Length of arc XY in circle A and B? What is the Length of arc XYZ in Circle D? Each circle has a radius of by writing the =lmeasureofthecentralangle Or measureofthecentralangle360 =lCSolving either of the Formulas for l you getl=measureofthecentralangle360 CFor circle A you get l=120 360 Cwhich simplifies to l=13 Cand since C=6 you end up with l=2 as the arc Length for arc circle B you get l=90 360 Cwhich simplifies to l=14 Cand since C=6 you end up with l=32 as the arc Length for arc circle D you get l=180 360 Cwhich simplifies to l=12 Cand since C=6 you end up with l=3 as the arc l
Formulas for Arc Length It helps to think of a pizza when working with these types of problems. The arc length is the length of the crust on the piece of pizza you get.
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