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Maslowich
4 years ago
5

Please help, very urgent!

Mathematics
1 answer:
STALIN [3.7K]4 years ago
5 0

Answer:

0.36

Step-by-step explanation:

Given, a circle with radius, r=4 \ cm

Area of circle =\pi r^2

Substitute r=4

Area of whole circle=\pi r^2\\=\pi\times 4^2\\=16\pi \\=50.2654\ cm^2

Square is inscribed in it whose each side is 4\sqrt{2}\ cm

Area of square =side^2\\=(4\sqrt{2} )^2\\=16\times 2\\=32 \ cm^2

We can see that area of the white circle

= area of the whole circle - area of square

=50.2654-32\\=18.2654 \ cm^2

Probability of falling a random point within the white circle

=\frac{area\ of\ white\ circle}{area\ of\ whole\ circle}

=\frac{18.2654}{50.2654} \\=0.3633

Rounding to nearest hundredth.

Probability of falling a random point within the white circle would be 0.36

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