The probability that a randomly selected point within the circle falls into the red-shaded triangle is 0.318.
How the probability needed point was determined.
The probability that a randomly selected point within the circle falls into the red-shaded triangle is given by
P(red-shaded triangle) = Area shaded ∆/Area of circle
Area of red-ashaded ∆ = 1/2 * base * height
base = 24
height = 12
A of ∆ = 1/2* 24 * 12
= 288/2
= 144
Area of circle = πr²
r is radius
r = 12
A = π* 12²
= 144π
= 452.448
Probability of chosen point to fall on red-ashaded triangle = 144/452.448
P(red ∆) = 0.318
Therefore,the probability that a randomly selected point within the circle falls into the red-shaded triangle is 0.318.