+0  
 
0
69
1
avatar

Let A, B, and C be points on a circle of radius 18. If angle ACB = 90 degrees, what is the circumference of the minor arc {AB}? Express your answer in terms of pi.

 Nov 19, 2020
 #1
avatar+116125 
+1

If ACB  = 90°, then A,B  are  endpoints of the diameter

 

Then ACB  is an inscribed angle and its intercepted arc  =  2*90   =180°

 

So....the  arc length that it intercepts  is just a semi-circle  with a radius  of 18/2  =9

 

The arc length  =    9pi

 

cool cool cool

 Nov 19, 2020

18 Online Users

avatar