Question

NEED HELP REALLY BAD
Find that probability that a point chosen at random in the figure lies in the Green circle. The Green Circle has a diameter of 24. (The Green Circle is in the Blue Square)

Answer 1

What's the area of the square, call it S? And what's the area of the circle, call it C?

Then the probability of being in the green is
\[ \frac{C}{S} \]

Answer 2

it would be 24 right

Answer 3

Area of circle is 2 PI r and 12 is radius

Answer 4

its 75

Answer 5

Area of the circle is \( C = \pi r^2 \)

Answer 6

The area of the square is the length of the side, call it L, squared. What is the length of the side? What is L?

Answer 7

24

Answer 8

Hence \( S = L^2 = 24^2 = ... \).

Now what is \( r \) and hence what is the area of the circle, \( C \)?

Answer 9

452.38934211693022633862064719225

Answer 10

or simply round down to 452

Answer 11

Right, hence C/S = 452/576 = ...

Answer 12

0.78472222222222222222222222222222