A piece of wire 72 cm long is cut into two equal pieces and each is formed into a circle. What is the sum, in square centimeters, of the areas of these circles?
The circumference of each circle will be 36 cm
So...in one circle
C = 2 pi * r
36 = 2pi * r
36 /( 2pi) = r
18 /pi = r
So....the combined areas of the 2 circles =
2 * pi r^2 =
2 * pi * ( 18/pi)^2 =
2 * pi * 324 / pi^2 =
648 / pi cm^2 { ≈ 206.26 cm^2 }
Answer
