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?
Answer & explanation
Correct answer: option 1
Perimeter of square = circumference of circle
4 × side = 2 \(\pi \) radius
side = \(\frac{π}{2}\) radius
Area of circle = \(\pi \)r2
⇒ 1386 = \(\frac{22}{7}\) r2
⇒ r2 = \(\frac{1386 × 7}{22}\)
⇒ r2 = 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