Question

Wendy throws a dart at this square-shaped target: A square is shown with sides labeled 10. A shaded circle is shown in the center of the square. The diameter of the circle is 2. Part A: Is the probability of hitting the black circle inside the target closer to 0 or 1? Explain your answer and show your work. (5 points) Part B: Is the probability of hitting the white portion of the target closer to 0 or 1? Explain your answer and show your work. (5 points)

Answer 1

Answer:

Part A: closer to 0

Part B: closer to 1

Step-by-step explanation:

A for target = s^2

= 10 ^2

= 100

d = 2, so r = 1

A for circle = 3.14 * r^2

= 3.14 * 1^2

= 3.14

Area for square: (target's area - circle's area)

= 100 - 3.14

= 96.86

P (circle) =  circle's area/ total

= 3.14 / 100

= 3.14 %  (which is closer to 0 than 1)

P (square) =   square's area/ total

= 96.86/100

= 96.86 % (which is close to 1)

Hope this helps!

Answer 2

Answer:

see below

Step-by-step explanation:

The area of the square before the circle taken out is

A = s^2 = 10 ^2 = 100  this is the total area of the target

The area of the circle is  d=2 which means r =1

A = pi r^2 = pi * 1 ^2 = pi = 3.14

Area of just square is square - circle = 100 -3.14 =96.86

P( circle ) =  circle/ total = 3.14 / 100 = 3.14 %  which is closer to 0 than 1

P(square) =  just square/ total = 96.86/100 = 96.86 % which is close to 1