Answer: Time required to travel along the perimeter of a hexagon = 84seconds
Step-by-step explanation: Given, The radius of the circle = 21m Time taken to travel the circumference of the circle = 44 seconds Side of a hexagon = 42m To find, The time taken to move along the perimeter of a hexagon. Recall the concept Circumference of the circle =2πr The perimeter of a hexagon = 6× length of a side Distance = speed × time Solution Since the radius of the circle = 21m, The circumference of the circle = 2× ×21 = 132m Since time taken to travel 132 m is 44seconds Speed = = = 3m/s Since the length of a side of a hexagon = 42m, the perimeter of a hexagon = 6×42 = 252m Time required to travel along the perimeter of a hexagon = = = 84seconds ∴ Time required to travel along the perimeter of a hexagon = 84seconds