Question

find the perimeter of a square circumscribing a circle of radius 3.5cm​

Answer 1

Perimeter of square = 28 cm

Given:

Radius of the circle r = 3.5 cm

A square circumscribing a circle

To find:

The perimeter of the square

Solution:

When a square circumscribing a circle [ which means a circle is inscribed in a square ] then

Diameter of the circle will be equal to the side of the square

[ observe the given figure ]

From given data Radius of circle = 3.5 cm

⇒ Diameter of the circle = 2r = 2(3.5) = 7 cm

Length of the side of square = 7 cm

As we know perimeter of the square = 4s

[ where s is length of the side ]

Perimeter of the given Square = 4 × 7 cm = 28 cm

Perimeter of square = 28 cm    

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Answer 2

Answer:

The answer to the given question is the perimeter of a square circumscribing a circle is 28 cm.

Step-by-step explanation:

Given :

The radius of a circle r is 3.5 cm

A square is circumscribing a circle.

To find :

The perimeter of a square.

Solution:

When a square circumscribes the circle, the term circumscribing denotes that the circle is inscribed in a square.

when a circle is inscribed in a square, the diameter of the circle is equal to the side of the square.

It is observed in the above-given figure.

It is given that the radius of the circle is 3.5 cm.

Then the diameter of the circle is 2r = 2(3.5)=7 cm.

diameter of the circle is equal to the length of the side of the square which is 7 cm.

The perimeter of the square is 4a.

a is the length of the sides of the square.

$4 \times 7 = 28cm$

Therefore, the perimeter of a square circumscribing a square is 28 cm.

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