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Find the probability that a randomly selected point within the circle falls in the white area.

Find the probability that a randomly selected point within the circle falls in the-example-1
User Adri
by
2.7k points

2 Answers

24 votes
24 votes

Answer:

Thd answer is 36.3 .

Explanation:

0.363 --> 36.3%

User UndefinedReference
by
3.3k points
10 votes
10 votes

Answer:

36.3%

Explanation:

To do this, we first find the area of the white part.

Area of white part = area of circle - Area of square.

Area of circle = πr²

Area of circle = π × 4² = 16π cm²

Area of square = (4√2)² = 32 cm²

Area of white portion = 16π - 32 = 18.265 cm²

probability that a randomly selected point within the circle falls in the white area = Area of white portion/area of circle

probability that a randomly selected point within the circle falls in the white area = 18.265/16π ≈ 0.3634

To the nearest tenth gives 36.3%

User Monish Khatri
by
3.0k points