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CHAPTER 11.4 CIRCUMFERENCE and ARC LENGHT

Stephan Schutt , Vanessa Jo, Quique Degenhart Isabel Mendez and Guiselle Roesch. CHAPTER 11.4 CIRCUMFERENCE and ARC LENGHT. Circucumference. The circumference of a circle is the distance around the outer part or a circle. It can also be called the area of a circle.

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CHAPTER 11.4 CIRCUMFERENCE and ARC LENGHT

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  1. StephanSchutt, Vanessa Jo, Quique Degenhart Isabel Mendez and GuiselleRoesch CHAPTER 11.4CIRCUMFERENCE and ARC LENGHT

  2. Circucumference • The 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 (π= 3.14) of the circumference to the Diameter is the same for all the circles.

  3. Examples… • The Circumference of a circle is πD or 2πR. C=2πr C=2(3.14 X 5) C=31.4 cm. C=πd C=3.14 X D C=3.14X10 C=31.4 cm. 4 cm. 5 cm C=2πr C=2(3.14 x 4) C= 25.12 cm. C= 2πr C= 2(3.14 x 10) C= 62.8 in. 10 in.

  4. Arclength… • It is a side/part of the circumference of a circle. The measure of the arc may be used (in degrees) to find its length. Arc

  5. ArcLengthCorollary… • Is the ratio of the arc length to the whole measurement of the circle, which is 360° • Arc length m AB 2πr 360° or you can also use: m AB Arc length of AB = 360° A 360° B

  6. How to do the Arc Length Corollary… Arc length m AB 2πr 360° = A X 50° 2π7 360° = X 7 50° X 50° 43.96 360° B = P 43.96 x 50= m ÷ 360 X≈6.1

  7. Examples… Arc length of AB= 52/360 x 2π(5)= 4.53 o 52 5 cm. L 7 cm Arc length of IJ= 45/360 x 2π(6)= 4.71 50 0 6cm M 45 Arc length of LM = 50/360 x 2π(7)= 6.10

  8. Practice • Individualy 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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