202k views
4 votes
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
7.5k points

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
by
7.6k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories