Math, asked by gavvalamani3, 23 days ago

A wire was bent in the shape of a circle with radius 7cm. If the same wire was again used to make a square, then find its side.
The answer need to come 11cm​

Answers

Answered by nehadhakar134
1

Step-by-step explanation:

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Answered by TwilightShine
10

Answer :-

  • The side of the square is 11 cm.

To find :-

  • The side of the square made by the wire.

Solution :-

  • Before finding the side of the square, let's find the perimeter of the circle!

Given that :-

  • Radius of the circle = 7 cm.
  • The same wire was again used to make a square.

Therefore,

  • The perimeter (circumference) of the circle will be equal to the perimeter of the square.

We know that :-

  \underline{ \boxed{\sf Perimeter  \: of  \: a  \: circle = 2 \pi r}}

Where,

  • r = Radius.

Here,

  • Radius = 7 cm.
  • π = 22/7.

Hence :-

 \longmapsto \rm Perimeter = 2 \times  \dfrac{22}{ \not7}  \times  \not7

  \rm\longmapsto Perimeter = 2 \times 22

  \rm\longmapsto Perimeter = 44 \: cm

----------------------------------------

  • Now, let's find the side of the square!

We know that :-

 \underline{ \boxed{ \sf Perimeter \:  of \:  a  \: square = 4 \times Side}}

Here,

  • Perimeter = 44 cm.

Therefore,

  \tt\longrightarrow44 = 4 \times Side

 \tt\longrightarrow  \dfrac{44}{4}  = Side

  \longrightarrow\tt11 \: cm = Side

 \\

Thus :-

  • The side of the square is 11 cm.

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