Here the concept of area of square, perimeter of square, perimeter of circle and area of circle has been used. We see that we are given the area of a square ring. From that we can firstly find the side of the square ring and then its side. After that we will find the perimeter of the circular ring and then its radius. After finding this, we will find the area of the circular ring.
Let's do it !! _____________________________________________
★ Formula Used :-
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★ Solution :-
Given,
» Area of square = 121 cm²
• Let the radius of circle be r
~ For side of the Square ::
By applying values, we get
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~ For Perimeter of Circle ::
Firstly, let's find the perimeter of square. This is given as,
By applying values, we get
We know that the wire is bent in the form of square. So perimeter of square will be equal to the perimeter of circle. Then,
_____________________________________________
~ FortheAreaofCircle::
We know that,
By applying values, we get
Hence, we got the radiusof circle. Now using the formula of area,we get
Answers & Comments
Here the concept of area of square, perimeter of square, perimeter of circle and area of circle has been used. We see that we are given the area of a square ring. From that we can firstly find the side of the square ring and then its side. After that we will find the perimeter of the circular ring and then its radius. After finding this, we will find the area of the circular ring.
Let's do it !! _____________________________________________
★ Formula Used :-
_____________________________________________
★ Solution :-
Given,
» Area of square = 121 cm²
• Let the radius of circle be r
~ For side of the Square ::
By applying values, we get
_____________________________________________
~ For Perimeter of Circle ::
Firstly, let's find the perimeter of square. This is given as,
By applying values, we get
We know that the wire is bent in the form of square. So perimeter of square will be equal to the perimeter of circle. Then,
_____________________________________________
~ For the Area of Circle ::
We know that,
By applying values, we get
Hence, we got the radius of circle. Now using the formula of area, we get
This is the answer.
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★ More to know :-
Verified answer
Answer:
Radius is 7 cm
Step-by-step explanation:
Area of the square = side × side
given Area = 121 cm²
Implies
s × s = 121
s = √121
s = 11 cm
Now total length of the wire = Perimeter of yhe square = 4 × side
= 4 × 11
= 44 cm
Now it is bent to form a circle
Therefore circumference of circle = length of wire
2 π r = 44
2 r = 44 × 7 / 22
2 r = 2 × 7
r = 7 cm