Question

A silver wire when bent in the form of a square encloses an area of 484 sq. cm. If the same wire is bent in the form of a circle, Find the area of the circle

Answer 1

area of square=side×side
√484=side=22cm.
perimeter of square=length of wire
4×22=88cm.
circumference of circle=length of wire
88=2×22/7×r
88×7/22×2=r=14cm
area of circle=π×r×r=22/7×14/1×14/1=616sq. cm

ans.-616sq. cm.

Answer 2

Answer:

Area of the circle = 616 cm²

Step-by-step explanation:

Area of the square is given to be 484 square centimeter

Now, the area of the square is given by the formula : side²

⇒ Side² = 484

⇒ Side of the square = √484

⇒ Side of the square = 22 cm

Now, Length of the wire = Perimeter of square

⇒ Length of wire = 4 × side

⇒ Length of wire = 4 × 22

⇒ Length of wire = 88 cm

Also, Circumference of the circle = Length of wire

⇒ 2π × radius = 88

⇒ radius = 14 cm

Area of the circle = π·radius²

$\text{Area of the circle = }\frac{22}{7}\times 14^2$

⇒ Area of the circle = 616 cm²