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Find the probability that a randomlyselected point within the circle fallsin the red shaded area (square).r = 4 cm4.2 cm[? ]%Round to the nearest tenth of a percent.

Find the probability that a randomlyselected point within the circle fallsin the red shaded area squarer 4 cm42 cm Round to the nearest tenth of a percent class=

Respuesta :

First, we need to find the area of the circle

[tex]A_C=\pi r^2=\pi\left(4\right)^2=50.3\text{ }cm^2[/tex]

Then we calculate the area of the square

[tex]A_S=s^2=\left(4\sqrt{2}\right)^2=32\text{ }cm^2[/tex]

If 50.3 cm^2 is 100% what percentage represents 32 cm^2

[tex]\frac{32\left(100\right)}{50.27}=63.6\text{ \%}[/tex]

ANSWER

The probability is 63.6 %