bewellplus.gsu.edu
harmonybaddie harmonybaddie
  • 13-09-2014
  • Mathematics
Answered

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 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. class=

Verified Answer :

Anonymous Anonymous
  • 13-09-2014

\(a-side\ length\ of\ the\ square\\r=\frac{1}{2}a-radius\ length\ of\ the\ circle\\\\A_{\fbox{}}=a^2\\\\A_O=\pi r^2=\pi\left(\frac{1}{2}a\right)^2=\frac{1}{4}\pi a^2\\\\Probability:\frac{\frac{1}{4}\pi a^2}{a^2}=\frac{1}{4}\pi\approx\frac{1}{4}\cdot3.14=0.785\)

Answer Link

Related Questions

Which Chinese man was leader of the National Peoples Party called the Guomindang in 1925 a Ho Chi Minh b Chiang KaiShek c Mao Zedong d Aung San
How do I complete each pattern Example 1 block 3 blocks6 blocks
what does its heavier than a wet rug means anda what type of figurative language its
2 Which one of the following passages best suggests an indirect causeA If you mix pleasure and business business suffersB Weve learned that Sally Jones had a ch
How were progressive ideals used in preparing the military for war
the strongest evidence for evolution from a common ancestor is
what is the major energy resource used to generate electricity around the globe and why
How to make yogurt with fresh milk
Literary nonfiction is characterized by all of the following except Acharacters based on real life Binvented characters Cliterary techniques
Swimming pool water water and chlorine is this a heterogeneous mixture