total area =
inner circle ...
middle ring ...
outer ring ...
Hello, requal!
An archery target consists of three concentric circles.
The outer rim of the target has a radius of 1.2m.
Find the radii of the two inner circles so that the three areas
(central circle and two rings) are equal)
Let = smallest radius.
Let = next larger radius.
We know that is the largest radius.
The area of the central circle is: . .[1]
The area of the middle ring is: . .[2]
The area of the outer ring is: . .[3]
Since the areas are equal, [1] = [2] gives us:
. . .[4]
And [2] = [3] gives us:
. . .[5]
Solve the system: .
. . and we get: .