A square is inscribed in a circle of radius 3 square root 2 find the area

Inscribed means drawn inside with corners touching sides of circle

we know that r=3√2

if we double that we get the diameter of 6√2

this also is the diagonal of the square

we now have pythagoran theorem

the 2 legs are equal measure since it is a square

hypotonuse=diangoal of square

a^2+b^2=c^2

a=b

2a^2=c^2

2a^2 = (6 √2) ^2

2a^2=72

divide both sides by 2

a^2=36

sqrt both sides

a=6

the legnth of one side is 6

area=side^2

area=6^2

area=36

the area is 36 square units