Question

Please help, very urgent!

Answer 1

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