An electronic dartboard has a diameter of 10 inches. The bull’s-eye has a radius of 1.5 inches. If a dart hits the board randomly, what is the chance it hits the bull’s-eye? Check all that apply. The dartboard area is roughly 78.54 square inches.The dartboard area is roughly 314.16 square inches.The bull’s-eye area is roughly 7.07 square inches.The probability that a random dart strikes the bull’s-eye is roughly 0.09. The probability that a random dart strikes the bull’s-eye is roughly 0.02.
Answer
A
The dartboard area is roughly 78.54 square inches.
B
The dartboard area is roughly 314.16 square inches.
C
The bull’s-eye area is roughly 7.07 square inches.
D
The probability that a random dart strikes the bull’s-eye is roughly 0.09.
E
The probability that a random dart strikes the bull’s-eye is roughly 0.02.
Explanation
The dartboard’s radius is half its 10-inch diameter, or 5 inches. Its area is π × 5² = 25π ≈ 78.54 square inches, so A is correct. The bull’s-eye area is π × 1.5² = 2.25π ≈ 7.07 square inches, so C is correct. The chance of hitting it is the area ratio 7.07 ÷ 78.54 ≈ 0.09, making D correct; 0.02 is too small.
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