CHAPTER 11.4 CIRCUMFERENCE and ARC LENGHT

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CHAPTER 11.4 CIRCUMFERENCE and ARC LENGHT Stephan Schutt, Vanessa Jo, Quique Degenhart Isabel Mendez and Guiselle Roesch

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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. - PowerPoint PPT Presentation

Transcript of CHAPTER 11.4 CIRCUMFERENCE and ARC LENGHT

Page 1: CHAPTER 11.4 CIRCUMFERENCE and ARC LENGHT

CHAPTER 11.4CIRCUMFERENCE and ARC LENGHT

Stephan Schutt, Vanessa Jo, Quique DegenhartIsabel Mendez and Guiselle Roesch

Page 2: 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.

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

Page 3: CHAPTER 11.4 CIRCUMFERENCE and ARC LENGHT

Examples…

The Circumference of a circle is πD or 2πR.

C=πdC=3.14 X DC=3.14X10C=31.4 cm.

C=2πrC=2(3.14 X 5)C=31.4 cm.

5 cm

10 in.

C= 2πrC= 2(3.14 x 10)C= 62.8 in.

4 cm.

C=2πrC=2(3.14 x 4)C= 25.12 cm.

Page 4: CHAPTER 11.4 CIRCUMFERENCE and ARC LENGHT

Arc length…

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

Page 5: CHAPTER 11.4 CIRCUMFERENCE and ARC LENGHT

Arc Length Corollary…

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

B

360°

Page 6: CHAPTER 11.4 CIRCUMFERENCE and ARC LENGHT

How to do the Arc Length Corollary…

P

A

B

X7

50°

Arc length m AB 2πr 360° =

X 50°2π7 360° =

X 50°43.96 360° =

43.96 x 50= m ÷ 360

X≈6.1

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Examples…

7 cm

500

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

L

M

5 cm.

52o

Arc length of AB= 52/360 x 2π(5)= 4.53

6cm

45

Arc length of IJ= 45/360 x 2π(6)= 4.71

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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.