A sector with a central angle of pi/6 is 1/12 from the area of the whole circle so:
72/12=6cm2
The width of the rectangle can be any number from "1" (1x72=72 cm2) to "72" (72x1=72cm2)
72cm2
The official match ball for the 2014 FIFA World Cup was manufactured by the Adidas company and named the Adidas Brazuca.
Suppose the Length and Width are L and W. Then Perimeter: 2(L + W) = 44 so that L + W = 22 and W = 22 - L and Area: L*W = 72 so that L*(22 - L) = 72 ie L2 - 22L + 72 = 0 (L - 4) (L - 18) = 0 Then L = 4 giving W = 18 or L = 18 giving W = 4 Since L > W (by convension), the answer is L =18 cm and W = 4 cm Substituting the