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)
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: .