SOLUTION: A circular target is divided into 4 rings that have equal areas. If the radius of the target is 24 cm, find the radius of the circle at the centre of the target.

Algebra ->  Conversion and Units of Measurement -> SOLUTION: A circular target is divided into 4 rings that have equal areas. If the radius of the target is 24 cm, find the radius of the circle at the centre of the target.      Log On


   

Question 1027686: A circular target is divided into 4 rings that have equal areas. If the radius of the target is 24 cm, find the radius of the circle at the centre of the target.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Find the area of the total target.
A=pi%2AR%5E2=pi%2824%29%5E2=576pi
So each of the rings has an area of,
A%5Br%5D=%28576pi%29%2F4
A%5Br%5D=144pi
So the inner ring's radius would be,
pi%2AR%5Bi%5D%5E2=144pi
R%5Bi%5D=12cm