find the perimeter of a square circumscribing a circle of radius 3.5cm
Answers
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
#SPJ2
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.
Therefore, the perimeter of a square circumscribing a square is 28 cm.
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