Math, asked by ss3215816, 6 months ago

A circle circumscribes a square. The length of side of square is 5cm.

The length of diameter of the circle is pls pls answer immediately pls​

Answers

Answered by faiz9066
0

Answer:

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Step-by-step explanation:

good question

wait for ans.....

Answered by TheValkyrie
16

Answer:

\bigstar{\bold{Diameter=5\sqrt{2} \:cm}}

Step-by-step explanation:

\Large{\underline{\underline{\bf{Given:}}}}

  • The length of side of square is 5 cm

\Large{\underline{\underline{\bf{To\:Find:}}}}

→ Consider the figure in the attatchment.

  ABCD is a square and BD is the diagonal of the square.

→ Diagonal of the square = Diameter of the circle

→ Diagonal of a square is given by the formula,

  Diagonal of a square = √2 a

  where a is a side of the square

→ Substitute the datas,

  Diagonal of a square = √2 × 5

  Diagonal of square = 5√2 cm

→ Diagonal of the square = Diameter of the circle

→ Hence diameter of circle = 5√2 cm.

\boxed{\bold{Diameter=5\sqrt{2} \:cm}}

\Large{\underline{\underline{\bf{Notes:}}}}

→ The diagonal of a square is given by the formula

   Diagonal of square = √2 a

   where a is a side of the square

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