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100 POINTS! PLEASE ANSWER ONLY IF YOU KNOW
Find the probability of “landing” in the shaded region of the figures below. Round your answer to the nearest hundredth.

100 POINTS PLEASE ANSWER ONLY IF YOU KNOW Find the probability of landing in the shaded region of the figures below Round your answer to the nearest hundredth class=

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mhanifa

Answer:

#4

Area of rectangle:

  • A = lw = 10*20 = 200 m²

Shaded area:

  • A = 2πr² = 2π(10/2)² = 157.079 m²

Probability:

  • P = 157.079/200 ≈ 0.785 or 78.5%

#5

Area of bigger circle:

  • A = πr² = π(20)² = 1256.637 m²

Shaded area:

  • A = π(10² - 5²) = 235.619 m²

Probability:

  • P = 235.619/1256.637 ≈ 0.187 or 18.7%

Answer:

4

We know that

Area of rectangle = lb

Area = 10(20)

Area = 200 m²

Shaded region = πr²

=> 2 × 22/7 × (10/2)²

=> 2 × 22/7 × 10/4

=> 157 m²

Probability = 157/200 = 78.5%

5.

Area of the biggest circle = πr²

= 22/7 × (20)²

= 1256.6

Area of shaded region

π(10² - 5²)

π(100 - 25)

3.14(75)

235.6

Probability = 235.6/1256.6 = 18.7%

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