Question

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%

Answer 1

D 78.5%

Explanation:

Answer 2

Answer: D. 78.5%

Explanation:

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

Then the side length of square =
`2* \text{Radius of circle}`

Since, the radius of the circle = 8 units

Then, the side length of square =
`2* 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)}=(200.96)/(256)=0.785`

In percent,
`\text{P(Dart hit in circle)}=0.785*100=78.5\%`

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