+0  
 
0
3
2
avatar+752 

A sector of a circle is shown below.  The sector has an area of $60 \pi.$  What is the radius of the circle?

 

 Jun 25, 2024
 #1
avatar+85 
0

so if a 83 degree sector of a circle has an area of 60 pi, then we can find some ratios. 83/360 = 60pi/ (area of cricle) so the area of the cirlc ewould be 21600/83 pi so the radius of the circle would be 60sqrt6 / sqrt83 or \(\frac{60\sqrt{498}}{83}\)

 Jun 25, 2024
 #2
avatar+129725 
+1

Area =  pi r^2 * (83/360)

 

60 pi = pi* r^2 * (83/360)

 

r^2  = (60 * 360) / 83

 

r = sqrt [ 60 * 360 / 83 ]  ≈ 16.13

 

 

cool cool cool

 Jun 25, 2024

3 Online Users

avatar
avatar