A square is inscribed in a circle with a circumference of 16π2√. What

Question

A square is inscribed in a circle with a circumference of 16π√2. What is the area of the square?

A. 32
B. 64
C. 128
D. 256
E. 512

vishalkazone · Answer

If a square is inscribed in a circle, diagonal of square will be diameter of circle.

Circumference of circle =2 π r
16π√2 = 2 π r

Diameter = 16 √2 = diagonal of square = a√2
Side of square = 16
Area of square = 256.

Answer D

eswarchethu135 · Answer

Diameter of the circle is equal to the diagnol of the square.

2\pi r = 16 \pi \sqrt{2}

2r = 16\sqrt{2}

2r = diagnol of square

When diagnol of a square is  16\sqrt{2}  then side of the square is 16.

Area of square =  S^2  =>  16^2  => 256.

OPTION:  D

Archit3110 · Answer

radius= 8 sqrt2
diameter 16 sqrt 2

it would be 45:45:90 : x:x:xsqrt2
2x^2= 16*16*2
x^2= 256 option D

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