Question 1141716: a square is inscribed in a circle. If the area of the circle is 25Ï€ sq. mm, what is the area of the square? Found 3 solutions by Boreal, josmiceli, MathTherapy:Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website! The circle has radius 5 cm for an area of 25*pi mm^2.
If one draws this, a right triangle may be formed with one leg the radius of the circle, the second leg 1/2 the side of the square, and the hypotenuse half the diagonal of the square.
Because that triangle is a 45-45-90 triangle, half the side of the square is 5 cm as well and the area of the square is 100cm^2, (10 cm)^2. Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website! The diagonal of the square will be the same as
the diameter of the circle
This is half the diameter, so
diameter = , and the
diagonal also =
----------------------------------
Let = a side of the square
For a square
and
Area of square = mm2
get a 2nd opinion if needed Answer by MathTherapy(10557) (Show Source): You can put this solution on YOUR website! a square is inscribed in a circle. If the area of the circle is 25Ï€ sq. mm, what is the area of the square?
Is there EVER a day when most of these people DON'T give wrong answers?
The area of the square is NOT 100 mm2, but 50 mm2 instead.