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?
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