SOLUTION: Find the area of a square inscribed in a circle whose radius is 8cm. Thank you

Question 1161383: Find the area of a square inscribed in a circle whose radius is 8cm. Thank you
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
The area of this square is 128 square centimeters.

Drawing the figure, center to any corner is 8, and is hypotenuse of a 45-45-90 right triangle. If v is one of the legs then .
.
.

Each side or dimension for the square is .

Area:

Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!
Find the area of a square inscribed in a circle whose radius is 8cm. Thank you

With the radius being 8 cm, the diameter is 2(8) = 16 cm.
The diagonal of a square inscribed in a circle is also the circle's diameter.
The legs/sides of the square are congruent - this being a square - so with each congruent side being S, we get:
The above, represents the AREA of the square.
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