Question

Find the perimeter of a square circumscribing a circle of a radius 'A' cm

Answer 1

AS the radius of circle is A cm so its diameter will be 2A cm

The side of square = the diameter of circle

The perimeter of square = 4 into side

                                         =4 into 2A

                                         = 8A

HOPE ITS CORRECT

Answer 2

Given :

• Radius of Circle = a cm

To Find :

• The perimeter of a square.

Solution :

✰ Since the square circumscribing a circle of a radius a cm, therefore the diameter of a circle is equal to the side of a square.

⟼ But Diameter of Circle = 2 × Radius

⟼ Side of Square = (2 × a) cm

⟼ Side of Square = 2a cm

Now,

⟹ Perimeter of Square = 4 × side

⟹ Perimeter of Square = 4 × 2a cm

⟹ Perimeter of Square = 8a cm

Thus Perimeter of Square is 8a cm

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★ Additional Info :

Formulas Related to Square :

• Perimeter = 4 × Side
• Area = Side × Side
• Side of Square = √Area
• Diagonal = √2 × Side
• Area = ½ × (Diagonal)²
• Area = (Perimeter ÷ 4)²

Formulas Related to Circle:

• Circumference of Circle = 2πr
• Area of Circle = πr²
• Diameter of Circle = 2r
• Radius of Circle = D/2

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