Question

area of a sector of a circle of radius 36 cm is 72 pie cm2. find the length of the corresponding area​

Answer 1

$\boxed{\tt Area\ of\ Sector = \cfrac{Area_{(CIRCLE)}×Length_{(ARC)}}{Perimeter_{(CIRCLE)}}}$

$\bold {72π = \cfrac{π*(36)²×Length_{ARC}}{2π×36}}$

$\bold {Length_{ARC} = \cfrac{144π}{36}}$

$\boxed{ \bold \blue {Length_{ARC} = 4π} }$

Answer 2

Length of corresponding arc (not area) is 4π.