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2 years ago

Probability of hitting the shaded area

Mathematics

1 answer:

Pani-rosa [81]2 years ago

8 0

The probability of hitting the shaded area is 0.64

<h3>How to determine the probability?</h3>

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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