The perimeter of a square and a circle are same. If the area of the circle is 1386 cm², then what will be the area of square?

1089 cm²

Perimeter of square = circumference of circle

           4 × side = 2 \(\pi \) radius

                 side = \(\frac{π}{2}\) radius

Area of circle = \(\pi \)r^₂

                   ⇒ 1386 = \(\frac{22}{7}\) r^₂

                   ⇒      r^₂ = \(\frac{1386 × 7}{22}\)

                   ⇒      r^₂ = 63 × 7 = 441

                   ⇒      r = 21 cm

side of square  = \(\frac{π}{2}\) ×  radius

                      = \(\frac{22}{7}\) × \(\frac{1}{2}\) × 21 = 33

Area of square = (side)²

                      = (33)² = 1089 cm²