THE AREA OF THE RING WHICH IS INSIDE CIRCULAR TARGET IS 12CM.
Step-by-step explanation:
A circular target which is divided into four rings of equal areas as given in the information
The area of the circular target is
Area = [tex]\pi[/tex] * R².
As per the given data radius of the target 'R' is 24cm,
Area of circular target = [tex]\pi[/tex] * 24²
=> 576 [tex]\pi[/tex].
let us consider radius of ring equals to 'r',
So, each of the ring has area of
=> Area of ring = ([tex]\pi[/tex] * 576) / 4
=> 144 * [tex]\pi[/tex]
Now let us consider area of the small ring inside circular target
Area of ring = [tex]\pi[/tex] * r²
[tex]\pi[/tex] * r² = 144 [tex]\pi[/tex]
Taking off the [tex]\pi[/tex] from both sides
r² = 144
r = 12.
Therefore radius of ring which is inside circular target is 12 cm.