Question

Area o circle is equal to area of square radius of circle is 7 cm find perimeter of square.​

Answer 1

Answer:

• Perimeter of square is 49.6 cm (approx).

Step-by-step explanation:

Given :-

• Area of circle and area of square are equal.
• Radius of circle is 7 cm.

To find :-

• Perimeter of square.

Solution :-

Area of circle = πr²

$\longrightarrow$ Area = 22/7 × (7)²

$\longrightarrow$ Area = 22/7 × 49

$\longrightarrow$ Area = 1078/7

$\longrightarrow$ Area = 154

Area of circle is 154 cm².

Area of circle and area of square are equal.

So, Area of square is 154 cm².

• We will find side of square using it's area.

Area of square = Side × Side [Or, Side²]

$\longrightarrow$ 154 = Side²

$\longrightarrow$ √154 = Side

$\longrightarrow$ Side = 12.40

Side of square is 12.40 cm (approx).

We know,

Perimeter of square = 4 × side

$\longrightarrow$ Perimeter = 4 × 12.40

$\longrightarrow$ Perimeter = 49.6

Therefore,

Perimeter of square is 49.6 cm (approx).

Answer 2

Here, given that area of a circle and area of square are equal and radius of the circle is 7cm.

Firstly, we'll find the area of the circle.

• Area of a circle is πr².

We'll take 22/7 as the value of π. And it is given that radius of the circle is 7cm. By putting the values in the formula, we'll get the value of area of the circle which is equal to area of the square.

Now, put the values and solve

→ Area of the circle = πr²

→ Area of the circle = 22/7 × 7 × 7

→ Area of the circle = 154cm²

Area of circle = Area of square = 154cm²

Now, we'll find the area of the square.

• Area of the square is (side)²

We'll find the area of the square by taking the value of area of the circle which is equal to area of the square.

→ Area of the square = (side)²

→ 154 = (side)²

→ side = √154

→ side = 12.40cm

Now, we'll find the perimeter of the square.

• Perimeter of square = 4 × side

We'll put the value of side in the formula and find the perimeter of the square.

→ Perimeter of the square = 4 × side

→ Perimeter of the square = 4 × 12.40

→ Perimeter of the square = 49.6cm

Therefore, the perimeter of the square is 49.6cm.