Math, asked by deepak7275, 11 months ago

find the equation of the circle circumscribed a square of side a​


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Answers

Answered by student00001
1

Your answer mate

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When a square is circumscribed by a circle , the diagonal of the square is equal to thediameter of the circle.

The diagonal of the square is 33 inches.

We know from the Pythagorean Theorem that the diagonal of a square is 2√2 times the length of a side.

Therefore:

s2√=3s=32√=32√2  in.s2=3s=32=322  in.

 

First, find the diagonal of the square. Its length is 2√2 times the length of the side, or52√52 cm.

This value is also the diameter of the circle. So, the radius of the circle is half that length, or 52√2522 .

To find the area of the circle, use the formulaA=πr2A=πr2 .

A=π(52√2)2=π(25⋅24)=252π  cm2

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