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A circle is inscribed in a square. A point in the figure is selected at random. Find the probability that the point will be in the shaded region.

A.ABOUT 67%
B.ABOUT 95%
C.ABOUT 75%
D.ABOUT 80%

User Latrece
by
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2 Answers

2 votes

Answer:

80%

Explanation:

User Artem Tikhomirov
by
8.2k points
5 votes
P of selecting point on the shaded region = shaded area/whole area
P( selecting point on the shaded ) = ( the four shaded circles ) / the whole square
P of selecting point on the shaded = ( 4 * ( π * r^2 ) )/ x^2
P of selecting point on the shaded = ( 4 * ( π * (x/4)^2 ) )/ x^2
P of selecting point on the shaded = ( 4 * ( π * x^2/16 ) )/ x^2
P of selecting point on the shaded = ( π * x^2/4 )/ x^2
P of selecting point on the shaded = x^2( π/4 )/ x^2
P( selecting point on the shaded ) = π/4 ≈ 0.7854 ≈ 79%
=80%
D is right option hope this helps
User Erick Robertson
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7.6k points