
Jude G.
asked 05/22/20Probability Question
A dart hits the square dartboard shown below at a random point. Find the probability that the dart lands in the shaded circular region. Each side of the dartboard is 13 in, and the radius of the shaded region is 6 in.
Use the value 3.14 for π.
1 Expert Answer

Christopher J. answered 05/22/20
Berkeley Grad Math Tutor (algebra to calculus)
Jude:
The circular region has area (6)2*π = 36*π = 113.097
The area of the square is 132 = 169
To find the required probability, what percentage of the total area of the square is inside the circular region?
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Stanton D.
Hi Jude G., the probability is equal to the quotient of the area of the shaded circular region divided by the area of the dartboard, right?05/22/20