Question

answer me with solution please​

Answer 1

Answer:

44 cm

Step-by-step explanation:

circumference of the circle = perimeter of square

2×π×radius = 4 × side

2×22/7×28 = 4 × side

176 cm = 4 × side

176/4 = side

44 cm = side

area of the square = side × side

area = 44 × 44

area = 1936 cm square

Answer 2

$\\\;\underbrace{\underline{\sf{Understanding\;the\;Concept}}}$

Here the concepts of Perimeter of Square, Perimeter of Circle and Area of Square has been used. We see that we are given a circular wire with radius. Since the wire is bent in the form of square so the perimeter of square will be equal to the perimeter of circle. From this we can find out the side of the square formed by bending the wire and thus we can find out the area.

Let's do it !!

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★ Formula Used :-

$\\\;\boxed{\sf{\pink{Perimeter\;of\;Circle\;=\;\bf{2\pi r}}}}$

$\\\;\boxed{\sf{\pink{Perimeter\;of\;Square\;=\;\bf{4\:\times\:Side}}}}$

$\\\;\boxed{\sf{\pink{Area\;of\;Square\;=\;\bf{(Side)^{2}}}}}$

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★ Solution :-

Given,

» Radius of circular shaped wire = r = 28 cm

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~ For the Perimeter of Square shaped ring ::

Firstly let's find ouout the perimeter of wire when it is in circular shape.

We know that,

$\\\;\sf{\rightarrow\;\;Perimeter\;of\;Circle\;=\;\bf{2\pi r}}$

By applying values, we get

$\\\;\sf{\Longrightarrow\;\;Perimeter\;of\;Circle\;=\;\bf{2\:\times\:\dfrac{22}{7}\:\times\:28}}$

$\\\;\sf{\Longrightarrow\;\;Perimeter\;of\;Circle\;=\;\bf{2\:\times\:22\:\times\:4}}$

$\\\;\bf{\Longrightarrow\;\;Perimeter\;of\;Circle\;=\;\bf{\blue{176\;\;cm}}}$

We know that this circular shaped wire is bent in the form of square. This means the perimeter of square will be equal to the perimeter of circle shape formed by wire. So,

$\\\;\bf{\Longrightarrow\;\;Perimeter\;of\;Square\;=\;\bf{\orange{176\;\;cm}}}$

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~ For the Side of the Square ::

We already found the perimeter of the square. Also, we know that

$\\\;\sf{\rightarrow\;\;Perimeter\;of\;Square\;=\;\bf{4\:\times\:Side}}$

By applying values, we get

$\\\;\sf{\rightarrow\;\;176\;=\;\bf{4\:\times\:Side}}$

$\\\;\sf{\rightarrow\;\;Side\;=\;\bf{\dfrac{176}{4}}}$

$\\\;\bf{\rightarrow\;\;Side\;=\;\bf{\red{44\;\;cm}}}$

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~ For the Area of Square formed ::

We know that,

$\\\;\sf{\Longrightarrow\;\;Area\;of\;Square\;=\;\bf{(Side)^{2}}}$

By applying values, we get

$\\\;\sf{\Longrightarrow\;\;Area\;of\;Square\;=\;\bf{(44)^{2}}}$

$\\\;\sf{\Longrightarrow\;\;Area\;of\;Square\;=\;\bf{1936\;\;cm^{2}}}$

This is the required answer.

$\\\;\underline{\boxed{\tt{Area\;of\;Square\;=\;\bf{\purple{1936\;\;cm^{2}}}}}}$

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★ More to know :-

• Properties of Circle ::

• Its made by joining all the points kept in sequenced order on the plane, which when joined has no beginning nor ending point.

• Distance between the centre and any point of radius is called as Radius.

• Line which divided circle into two halves is known as Diameter.

• Properties of Square ::

• Its a regular polygon made up of four sides whose all the sides are equal.

• All the angles of square, equal to 90° .

• All the sides of square are perpendicular to each other.

• The diagonals of square are equal and bisect each other.