# A square is inscribed in a circle of radius 8cm. What is the area of square?

• A square is inscribed in a circle of radius 8cm. What is the area of square?

Answer #1 | 13/02 2014 04:41
Diagonal of square = diameter = 16 cm Area of square = 16 X 16 =256, 256 /2 = 128 sq cm ANSWER
Positive: 91 %
Answer #2 | 13/02 2014 04:44
The diameter is the diagonal of the square d = 16 Area of the square is (1/2)(diagonal)^2 Area = (16^2)/2 = 128cm^2 because you can see the square as a rhombus with equal diagonals
Positive: 85 %
Answer #3 | 13/02 2014 04:45
the diagonal of the square will be equal to the diameter of the circle. the d = s√2 [where d is diagonal of the square and s is the side of the square using the 45-45-90 reference triangle] => s = d/√2 given the area of a square is A = s² => s² = d²/2 => s² = (2*8)²/2 => s² = 128 cm²
Positive: 65 %
Answer #4 | 13/02 2014 04:50
d = 16 cm x² + x² = 16² 2x² = 256 x² = 128 x = 8 √2 cm Area = x² = 128 cm²
Positive: 33 %
Answer #5 | 13/02 2014 04:57
diagonal of the square=diametere of the circle=16cm. Arm or side of the square=diagonal / sq. root of 2= 11.3137 . Area= (side)^2= 128 cm^2
Positive: 10 %
Answer #6 | 14/02 2014 01:47
diagonal of square = 2*8 = 16cm side of square = x cm so x^2 + x^2 = 16^2 or 2x^2 = 16^2 area =x^2 = 16^2/2 = 256/2 = 128 cm^2
Positive: 10 %
Answer #7 | 14/02 2014 06:17
128 sq cm.
Positive: 10 %

Draw a circle of radius 5cm from a point 8cm away ... square that can be inscribed in a ... ii] 3. Area of a sec circle of radius 36 ...
Positive: 91 %
When a square is inscribed in a circle, the diagonal of a square must be equal to the diameter of circle Now, radius of circle, OA = 8 cm acirc; circ; ...
Positive: 86 %
Question 238035: The area of the square that can be inscribed in a circle of radius 8 cm is (A) 256 cm2 (B) 128 cm2 (C) 64 2 cm2 (D) 64 cm2