Question

A point is randomly chosen in the diagram shown below.

A circle inside of a square. The circle touches all sides of the square.

What is the likelihood that a point chosen inside the square will also be inside the circle?

Answer 1

Answer:

The likelihood that a point chosen inside the square will also be inside the circle: 78.54%

Step-by-step explanation:

• Let x is the side of the suqare

=> the area of the square is: $x^{2}$

• Let d is the diameter of the circle

=> the area of the circle : $\frac{1}{4} d^{2}$π

However, d=x because of the square property  

<=> the area of the circle : $\frac{1}{4} x^{2}$π

The likelihood that a point chosen inside the square will also be inside the circle:

the area of the circle / the area of the square

= $\frac{1}{4} x^{2}$π / $x^{2}$

= $\frac{1}{4}$ π *100%

= 0.7854 * 100%

= 78.54%

Answer 2

Answer:

the answer is likely :)

Step-by-step explanation: