Question

Area of a square inscribed in a circle with radius r

Answer 1

Answer:

When a circle is inscribed in a

square,the length of each side of

the square is equal to the diameter

of the circle.The area of circle of

area r units is A =pie r2

hope it is helpful✌✌

Answer 2

$\textsf{Join AC.Then ,AC is a diameter of the circle }$

$\rm \therefore AC=2r \: units$

$\rm But \: diagonal \: of \: a \: square=( \sqrt{2} ×side)$

$\rm \therefore \sqrt{2} \times \: side = 2r \implies \huge{\frac{2r}{ \sqrt{2} } }$

$\textsf{ \: Area of the square}= \rm ( { \sqrt{2} r})^{2} = 2r² \: sq. unit$