The probability of hitting the shaded area is 0.64
How to determine the probability?
The diameters are given as:
D = 10
d = 6
The shaded area is calculated as:
Shaded = π((D/2)² - (d/2)²)
So, we have:
Shaded = π((10/2)² - (6/2)²)
Evaluate the exponents
Shaded = 16π
The area of the big circle is calculated as:
Area = π(D/2)²
So, we have:
Area = π(10/2)²
Evaluate the exponents
Area = 25π
The probability of hitting the shaded area is:
P = 16π/25π
Evaluate
P = 0.64
Hence, the probability of hitting the shaded area is 0.64
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