Question

A square is inscribed in the circle. A point in the figure is selected at random. Find the probability that the point will be in the part that is NOT shaded.
about 10%

about 50%

about 25%

about 35%

Answer 1

Hmm
depends if you shade in the square or outside the square

lets say we have a circle with radius 1
means that the area is pi1^2 or pi squre units
1 will be the length of 1/2 the diagonals of the square
meaning the area of the square is 2

so 2/pi is the fraction of the circle that is the square
2/pi≈63.66%
100-63.66=36.34
36.34% is what is outside the squrae
the closest number is 36.34 so I would think that is it


about 35%