Question

A steel wire is bent in the form of a square of area 121 cm2. If the same wire is bent to form a circle, find the area of the circle. (Assume π=227)

11 cm2

44 cm2

121 cm2

154 cm2

Answer 1

Answer:

Area of squared wire =121cm

2

⇒s×s=121

⇒ side of square =11cm

Perimeter of square =4×s

=4×11=44cm=Circumference of circular wire

⇒2π×r=44

⇒r=

2π

44

⇒r=7cm

Now, Area of Circular wire =π×r

2

=

7

22

×7×7

=154cm

2

So, area of the wire when bent in circular shape is 154cm

2.

Answer 2

$\huge\sf\red{Answer:}$

⇒ Option - (D) 154 cm²

Step-by-step explanation:

Given:

⇒ A steel wire is bent in the form of a square of area 121 cm². If the same wire is bent to form a circle.

Find:

⇒ Find the area of the circle.

Note:

⇒ $\sf \pi= \dfrac{22}{7}$

Calculations:

⇒ According to the question, we know that 121² is the area of squared wire. Side × Side = 121², Side of a square = 11 cm.

Using formula:

⇒ Perimeter of square: $\sf 4 \times Side$

Calculations:

⇒ $\sf 4 \times 11 = 44$

⇒ $\sf 2 \pi \times r = 44$

⇒ $\sf r = \dfrac{44}{2 \pi}$

⇒ ${\sf{\underline{\boxed{\green{\sf{7 \: cm }}}}}}$

Now, finding the area of the circle:

⇒ $\sf \pi \times r^2$

⇒ $\sf \dfrac{22}{7} \times 7 \times 7$

⇒ ${\sf{\underline{\boxed{\green{\sf{154 \: cm^2 }}}}}}$

Therefore, 154 cm² is the area of the circle.