A circular dart board of radius 1 foot is at a distance of 20 feet from you. You throw a dart at it and it hits the dartboard at some point X in the circle. What is the probability that X is closer to the center of the circle than the periphery?

• p= area of inner circle /area of outer circle
  = (r/2)^2/(r)^2= 0.25
• 11 years agoHelpfull: Yes(15) No(0)
• Assume a circle of radius 0.5 feet with the same center on the circular dart. Now if the dart hits the dartboard inside the assumed circular region,then it will be closer to the center of the circle.Hence the required probability is the ratio of the areas of the smaller circle to the original circle.So the answer is 0.25
• 11 years agoHelpfull: Yes(7) No(0)
• x will be close to its center if it will lie within the area of the circle having radius as 1/2 foot.So the required probability will be
  3.14*(0.5*0.5)/(3.14*1*1) =1/4
• 11 years agoHelpfull: Yes(5) No(0)
• take radius r/2 for inner circle close to center and you will get pi*r^2/4 that is 1/4 of the whole dart so probability will be 1/4=0.25
• 11 years agoHelpfull: Yes(2) No(0)