Wendy throws a dart at this square-shaped target: A square is shown with sides labeled 10. A shaded circle is shown in the cente r 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)
2 answers:
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:
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
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