Question

a square abcd is inscribed in a circle of radius r . find area of the square​

Answer 1

To Find:-

The area of the square

Solution:-

Answer:

2r² square unit.

step-by-step explanation:

Let the diameter of the square be " d "

And the circumscribed circle of radius " r "

By the problem,

we know that,

the diameter of the circle is equal to the diagonal of the square

$\therefore \: d = 2r$

Now,

The area of Square

$\dfrac{1}{2} {d}^{2} = \dfrac{1}{2} ({2r}^{2}) = 2r \: square \: unit$

So, The area of the square is ABCD = 2r² square unit.

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Answer 2

Answer: PRA**** MARK IT AS BRAINLIEST AND THANK IT PLZ

HEY .. HERE IS YOUR ANSWER ,

If the radius is r so diameter will be 2r ..

And the diameter is acting as diagonal of the inscribed square

let the side of the square be 'a '

USING PHYTHAGORAS THEOREM ,

a² +a² = (2r)²

⇒ (2a) ²= 4r²

⇒ 2a² = 4r²

a = 2r

AREA OF SQUARE = SIDE ²

AREA = 2r²

Step-by-step explanation: