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a. What is the scale factor of dilation?

b. What is the length of the highlighted arc in circle A?

c. What is the length of the highlighted arc in circle B?

d. What is the ratio of the arc lengths?

e. How does the ratio of arc length compare to the scale factor?
 

 May 22, 2020
 #1
avatar+111455 
+3

a. Since the  radius of circle B  is 9  and  the radius of circle A  =  3.....the  scale  factor is  3

 

b.  Length of  arc in A  =  (1/4)  circumference of a circle with a radius of 3  =  (1/4) 2pi (3)  = (3/2)pi

 

c.   Arc length  =  (1/4) 2pi (9)  = (9/2) pi

 

d. Ratio of arc lenghts  =  (9/2)pi/ (3/2 pi)  =  3

 

e.  Arc length ratio  = Scale factor

 

cool cool cool 

 May 22, 2020

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