Mr. Hansen
Geom. HW due 2/26/09

 

Remaining Problems from §10.9

 

§10.9 #9bc

 

9.(b)

 

Given:  is equilateral; arc AB is centered at O
Find: Length of arc AB

 

 

 

Since , length of arc AB = .

Answer: , or approx. 18.8

 

 

 

[Reasonableness check: Since all sides of  are 18, AB = 18. Since the shortest distance between A and B is a straight segment, arc AB must be a little bit longer than 18.]

 

 

(c)

 

Given:  is equilateral; arc AB is centered at O
Find: Length of arc AB

 

 

 

Since AB = 18, the arc is a semicircle having r = 9. Answer: , or approx. 28.3.