Math, asked by abhiram8075, 11 months ago

a wire can be bent in the form of circle of radius 7 cm if it is bent in the form of a square then its area will be ________​

Answers

Answered by Anonymous
6

Step-by-step explanation:

\huge\boxed{\fcolorbox{blue}{orange}{HELLO\:MATE}}

GIVEN:

A circular wire of radius 7cm is bent in the form of a square.

TO FIND:

→The area of the square.

ANSWER:

In first case:

Radius of circle = 7cm

So, it's perimeter =

\large\red{\boxed{Perimeter =2πr}}

= (2 × π × 7) cm

=(2 × \dfrac{22}{7}× 7) cm

=44cm

Therefore the perimeter of the circle is 44cm.

So, the new square formed will have the same perimeter.

Now, square's perimeter is given by

\large\green{\boxed{Perimeter = 4×a}}

where a is the side if the square.

ATQ,

=>  4a = 44cm

=> a = \dfrac{44cm}{4}

=> a =11cm

Therefore length of each side of square is 11cm.

Now, area of square is given by

\large\purple{\boxed{  Area =a^{2}}}

where a is the side of the square.

= Area = (11 ×11) cm^{2}

=> Area =121cm^{2}

Therefore area of the square is 121cm^{2}

\huge\orange{\boxed{AREA =121cm^{2}}}

Answered by poojamaurya21
1

I don't know the answer..

good morning ....

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