Mathematics: Jake throws a dart that hits the square shown below: (a.k.a the pic below) what is the probability that the dart hits a point in the circle? a. 16% b. 21.5% c. 64% d. 78.5%

Step-by-step explanation:Cba...

Jake throws a dart that hits the square shown below:

Ответ:

griseldaguerree

16.01.2022

Mathematics

D. 78.5%

Step-by-step explanation:

In the given figure, we have a square having an inscribed circle.

Then the side length of square = $2\times \text{Radius of circle}$

Since, the radius of the circle = 8 units

Then, the side length of square = $2\times 8=16\ units$

Now, the area of square = $side^2=(16)^2=256\ units^2$

The area of circle = $\pi r^2=(3.14)(8)^2=(3.14)(64)=200.96\ units$

Now, the probability that the dart hits a point in the circle is given by :-

$\text{P(Dart hit in circle)}=\frac{\text{Area of circle}}{\text{Area of square}}\\\\\Rightarrow\text{P(Dart hit in circle)}=\frac{200.96}{256}=0.785$

In percent, $\text{P(Dart hit in circle)}=0.785\times100=78.5\%$

Hence, the probability that the dart hits a point in the circle =78.5%

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Jake throws a dart that hits the square shown below: (a.k.a the pic below)

what is the probability that the dart hits a point in the circle?
a. 16%
b. 21.5%
c. 64%
d. 78.5%

Ответ:

Ответ:

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