+0  
 
0
62
1
avatar+139 

A sector of a circle has a central angle of 80 degrees. If the area of the sector is 32pi, what is the radius of the circle?

AdminMod2  Aug 18, 2017
Sort: 

1+0 Answers

 #1
avatar
0

80 / 360 = 2/9

Area of circle = Pi x Radius^2

 

32Pi = 2/9 * Pi * r^2
Solve for r:
32 π = (2 π r^2)/9

32 π = (2 π r^2)/9 is equivalent to (2 π r^2)/9 = 32 π:
(2 π r^2)/9 = 32 π

Divide both sides by (2 π)/9:
r^2 = 144

Take the square root of both sides:
Answer: | r = 12  units

Guest Aug 18, 2017
edited by Guest  Aug 18, 2017

9 Online Users

avatar
We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details