There are two semicircular carpets on the stage of the Spring Festival Evening (as shown below). Their perimeters are all 25.7. What is the total area of these two carpets?
Suppose the radius of the carpet is r2r π/2+2r = 25.7r (π+2) = 25.7r = 25.7/(π+2) = 5m. The total area of these two carpets is a whole circle R2π = 52π = 78.5m2.